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14634045553536 = 27346869205483
BaseRepresentation
bin1101010011110100000100…
…0101100011101110000000
31220211000000210111022210000
43110331001011203232000
53404231011130203121
651042442051440000
73040163201546133
oct324750105435600
956730023438700
1014634045553536
11473229a22a492
1217842142b6000
13821ca51574b6
1438841216c21a
151a59e9b17526
hexd4f41163b80

14634045553536 has 160 divisors (see below), whose sum is σ = 43557234593400. Its totient is φ = 4877281299456.

The previous prime is 14634045553499. The next prime is 14634045553537. The reversal of 14634045553536 is 63535554043641.

14634045553536 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 4 + 0 + 4 + 55 + 53 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14634045553537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71115051 + ... + 71320533.

Almost surely, 214634045553536 is an apocalyptic number.

14634045553536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14634045553536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778617296700).

14634045553536 is an abundant number, since it is smaller than the sum of its proper divisors (28923189039864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14634045553536 is an equidigital number, since it uses as much as digits as its factorization.

14634045553536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212378 (or 212357 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 14634045553536 in words is "fourteen trillion, six hundred thirty-four billion, forty-five million, five hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 6869 10368 13738 20607 27476 41214 54952 61821 82428 109904 123642 164856 185463 205483 219808 247284 329712 370926 410966 439616 494568 556389 616449 659424 741852 821932 879232 989136 1112778 1232898 1318848 1483704 1643864 1849347 1978272 2225556 2465796 2637696 2967408 3287728 3698694 3956544 4451112 4931592 5548041 5934816 6575456 7397388 7913088 8902224 9863184 11096082 11869632 13150912 14794776 16644123 17804448 19726368 22192164 23739264 26301824 29589552 33288246 35608896 39452736 44384328 59179104 66576492 71217792 78905472 88768656 118358208 133152984 177537312 236716416 266305968 355074624 532611936 710149248 1065223872 1411462727 2130447744 2822925454 4234388181 5645850908 8468776362 11291701816 12703164543 16937552724 22583403632 25406329086 33875105448 38109493629 45166807264 50812658172 67750210896 76218987258 90333614528 101625316344 114328480887 135500421792 152437974516 180667229056 203250632688 228656961774 271000843584 304875949032 406501265376 457313923548 542001687168 609751898064 813002530752 914627847096 1219503796128 1626005061504 1829255694192 2439007592256 3658511388384 4878015184512 7317022776768 14634045553536