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557838696996 = 223272177832
BaseRepresentation
bin10000001111000011100…
…01110000001000100100
31222022212201220221122100
420013201301300020210
533114423201300441
61104133443132100
755205522455200
oct10074161601044
91868781827570
10557838696996
111a563a446629
1290143074030
13407b0ba5039
141cddca2db00
15e79d75ecb6
hex81e1c70224

557838696996 has 81 divisors (see below), whose sum is σ = 1640403652251. Its totient is φ = 159373522224.

The previous prime is 557838696913. The next prime is 557838696997. The reversal of 557838696996 is 699696838755.

The square root of 557838696996 is 746886.

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

557838696996 is a `hidden beast` number, since 5 + 578 + 38 + 6 + 9 + 6 + 9 + 9 + 6 = 666.

It is a super-2 number, since 2×5578386969962 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557838696997) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31360321 + ... + 31378103.

Almost surely, 2557838696996 is an apocalyptic number.

557838696996 is the 746886-th square number.

It is an amenable number.

557838696996 is an abundant number, since it is smaller than the sum of its proper divisors (1082564955255).

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

557838696996 is an equidigital number, since it uses as much as digits as its factorization.

557838696996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35590 (or 17795 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 81.

Multiplying 557838696996 by its sum of digits (81), we get a square (45184934456676 = 67219742).

The spelling of 557838696996 in words is "five hundred fifty-seven billion, eight hundred thirty-eight million, six hundred ninety-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 17783 35566 53349 71132 106698 124481 160047 213396 248962 320094 373443 497924 640188 746886 871367 1120329 1493772 1742734 2240658 2614101 3485468 4481316 5228202 7842303 10456404 15684606 31369212 316235089 632470178 948705267 1264940356 1897410534 2213645623 2846115801 3794821068 4427291246 5692231602 6640936869 8854582492 11384463204 13281873738 15495519361 19922810607 26563747476 30991038722 39845621214 46486558083 61982077444 79691242428 92973116166 139459674249 185946232332 278919348498 557838696996