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12477691008 = 27341770793
BaseRepresentation
bin10111001111011101…
…00111010010000000
31012012120222101020000
423213232213102000
5201023242103013
65422052120000
7621131423616
oct134756472200
935176871200
1012477691008
115323370a32
122502906000
13123b108523
148652476b6
154d067d973
hex2e7ba7480

12477691008 has 160 divisors (see below), whose sum is σ = 39318279660. Its totient is φ = 3914514432.

The previous prime is 12477690997. The next prime is 12477691021. The reversal of 12477691008 is 80019677421.

It is a happy number.

12477691008 is a `hidden beast` number, since 12 + 477 + 69 + 100 + 8 = 666.

12477691008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12151093824 + 326597184 = 110232^2 + 18072^2 .

It is a super-2 number, since 2×124776910082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140860 + ... + 211652.

Almost surely, 212477691008 is an apocalyptic number.

12477691008 is a gapful number since it is divisible by the number (18) 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 12477691008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19659139830).

12477691008 is an abundant number, since it is smaller than the sum of its proper divisors (26840588652).

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

12477691008 is an equidigital number, since it uses as much as digits as its factorization.

12477691008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70836 (or 70815 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12477691008 in words is "twelve billion, four hundred seventy-seven million, six hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 44064 58752 70793 88128 141586 176256 212379 283172 424758 566344 637137 849516 1132688 1203481 1274274 1699032 1911411 2265376 2406962 2548548 3398064 3610443 3822822 4530752 4813924 5097096 5734233 6796128 7220886 7645644 9061504 9627848 10194192 10831329 11468466 13592256 14441772 15291288 19255696 20388384 21662658 22936932 27184512 28883544 30582576 32493987 38511392 40776768 43325316 45873864 57767088 61165152 64987974 77022784 81553536 86650632 91747728 97481961 115534176 122330304 129975948 154045568 173301264 183495456 194963922 231068352 244660608 259951896 346602528 366990912 389927844 462136704 519903792 693205056 733981824 779855688 1039807584 1386410112 1559711376 2079615168 3119422752 4159230336 6238845504 12477691008