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54583075937296 = 2419241223712
BaseRepresentation
bin11000110100100100111001…
…10110100001110000010000
321011021002110102002120001001
430122102130312201300100
524123242114414443141
6312031041404151344
714332332335213464
oct1432223466416020
9234232412076031
1054583075937296
1116434609430475
126156695838554
13245c214b2290a
14d69b992384a4
15649c6ecb0a31
hex31a49cda1c10

54583075937296 has 135 divisors (see below), whose sum is σ = 114450649826589. Its totient is φ = 25213889260800.

The previous prime is 54583075937231. The next prime is 54583075937303. The reversal of 54583075937296 is 69273957038545.

The square root of 54583075937296 is 7388036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2630118471696 + 51952957465600 = 1621764^2 + 7207840^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 23021118991 + ... + 23021121361.

Almost surely, 254583075937296 is an apocalyptic number.

54583075937296 is the 7388036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54583075937296

54583075937296 is an abundant number, since it is smaller than the sum of its proper divisors (59867573889293).

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

54583075937296 is an frugal number, since it uses more digits than its factorization.

54583075937296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1714608000, while the sum is 73.

The spelling of 54583075937296 in words is "fifty-four trillion, five hundred eighty-three billion, seventy-five million, nine hundred thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 361 656 722 779 1444 1558 1681 2371 2888 3116 3362 4742 5776 6232 6724 9484 12464 13448 14801 18968 26896 29602 31939 37936 45049 59204 63878 90098 97211 118408 127756 180196 194422 236816 255512 360392 388844 511024 606841 720784 777688 855931 1213682 1555376 1711862 1847009 2427364 3423724 3694018 3985651 4854728 5621641 6847448 7388036 7971302 9709456 11243282 13694896 14776072 15942604 22486564 29552144 31885208 35093171 44973128 63770416 70186342 75727369 89946256 106811179 140372684 151454738 213622358 230487281 280745368 302909476 427244716 460974562 561490736 605818952 854489432 921949124 1211637904 1438820011 1708978864 1843898248 2029412401 2877640022 3687796496 4058824802 4379258339 5755280044 8117649604 8758516678 9449978521 11510560088 16235299208 17517033356 18899957042 23021120176 32470598416 35034066712 37799914084 70068133424 75599828168 83205908441 151199656336 166411816882 179549591899 332823633764 359099183798 665647267528 718198367596 1331294535056 1436396735192 2872793470384 3411442246081 6822884492162 13645768984324 27291537968648 54583075937296