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557807435696 = 247211163714419
BaseRepresentation
bin10000001110111111110…
…10011111111110110000
31222022210120002201012102
420013133322133332300
533114342200420241
61104130405115532
755204662654320
oct10073772377660
91868716081172
10557807435696
111a5623834545
12901346b8ba8
13407a757ac24
141cdd8813280
15e79ab3739b
hex81dfe9ffb0

557807435696 has 80 divisors (see below), whose sum is σ = 1241843016960. Its totient is φ = 237765507840.

The previous prime is 557807435663. The next prime is 557807435699. The reversal of 557807435696 is 696534708755.

It is a super-2 number, since 2×5578074356962 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557807435699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38678375 + ... + 38692793.

It is an arithmetic number, because the mean of its divisors is an integer number (15523037712).

Almost surely, 2557807435696 is an apocalyptic number.

557807435696 is a gapful number since it is divisible by the number (56) 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 557807435696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620921508480).

557807435696 is an abundant number, since it is smaller than the sum of its proper divisors (684035581264).

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

557807435696 is a wasteful number, since it uses less digits than its factorization.

557807435696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282 (or 16276 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 65.

The spelling of 557807435696 in words is "five hundred fifty-seven billion, eight hundred seven million, four hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 211 422 844 1477 1637 1688 2954 3274 3376 5908 6548 11459 11816 13096 14419 22918 23632 26192 28838 45836 57676 91672 100933 115352 183344 201866 230704 345407 403732 690814 807464 1381628 1614928 2417849 2763256 3042409 4835698 5526512 6084818 9671396 12169636 19342792 21296863 23603903 24339272 38685584 42593726 47207806 48678544 85187452 94415612 165227321 170374904 188831224 330454642 340749808 377662448 660909284 1321818568 2643637136 4980423533 9960847066 19921694132 34862964731 39843388264 69725929462 79686776528 139451858924 278903717848 557807435696