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157796439696 = 24327247292
BaseRepresentation
bin1001001011110101100…
…1101001011010010000
3120002022002211200112100
42102331121221122100
510041131342032241
6200253553200400
714254225415100
oct2227531513220
9502262750470
10157796439696
1160a14a81745
12266b9860100
1311b5988c89c
1478ccdcb200
1541882ba9b6
hex24bd669690

157796439696 has 135 divisors (see below), whose sum is σ = 513819256041. Its totient is φ = 45075163392.

The previous prime is 157796439683. The next prime is 157796439709. The reversal of 157796439696 is 696934697751.

The square root of 157796439696 is 397236.

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

157796439696 is a `hidden beast` number, since 1 + 577 + 9 + 6 + 43 + 9 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (157796439683) and next prime (157796439709).

It can be written as a sum of positive squares in only one way, i.e., 3253105296 + 154543334400 = 57036^2 + 393120^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33365460 + ... + 33370188.

Almost surely, 2157796439696 is an apocalyptic number.

157796439696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157796439696 is the 397236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157796439696

157796439696 is an abundant number, since it is smaller than the sum of its proper divisors (356022816345).

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

157796439696 is an frugal number, since it uses more digits than its factorization.

157796439696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9486 (or 4741 counting only the distinct ones).

The product of its digits is 462944160, while the sum is 72.

The spelling of 157796439696 in words is "one hundred fifty-seven billion, seven hundred ninety-six million, four hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 4729 7056 9458 14187 18916 28374 33103 37832 42561 56748 66206 75664 85122 99309 113496 132412 170244 198618 226992 231721 264824 297927 340488 397236 463442 529648 595854 680976 695163 794472 926884 1191708 1390326 1588944 1853768 2085489 2383416 2780652 3707536 4170978 4766832 5561304 8341956 11122608 16683912 22363441 33367824 44726882 67090323 89453764 134180646 156544087 178907528 201270969 268361292 313088174 357815056 402541938 469632261 536722584 626176348 805083876 939264522 1073445168 1095808609 1252352696 1408896783 1610167752 1878529044 2191617218 2504705392 2817793566 3220335504 3287425827 3757058088 4383234436 5635587132 6574851654 7514116176 8766468872 9862277481 11271174264 13149703308 17532937744 19724554962 22542348528 26299406616 39449109924 52598813232 78898219848 157796439696