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556172838928 = 24717940967829
BaseRepresentation
bin10000001011111100111…
…11000000100000010000
31222011120122022120222101
420011332133000200100
533103020221321203
61103300254050144
755116324062140
oct10057637004020
91864518276871
10556172838928
111a4965082823
128b9591a9954
13405a6a20ac5
141ccc16b4920
15e7023a241d
hex817e7c0810

556172838928 has 80 divisors (see below), whose sum is σ = 1241451792000. Its totient is φ = 236445152256.

The previous prime is 556172838829. The next prime is 556172838929. The reversal of 556172838928 is 829838271655.

It is a super-2 number, since 2×5561728389282 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 556172838928.

It is not an unprimeable number, because it can be changed into a prime (556172838929) 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, 8165718 + ... + 8233546.

It is an arithmetic number, because the mean of its divisors is an integer number (15518147400).

Almost surely, 2556172838928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556172838928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620725896000).

556172838928 is an abundant number, since it is smaller than the sum of its proper divisors (685278953072).

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

556172838928 is a wasteful number, since it uses less digits than its factorization.

556172838928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68432 (or 68426 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 64.

The spelling of 556172838928 in words is "five hundred fifty-six billion, one hundred seventy-two million, eight hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 179 358 409 716 818 1253 1432 1636 2506 2863 2864 3272 5012 5726 6544 10024 11452 20048 22904 45808 67829 73211 135658 146422 271316 292844 474803 512477 542632 585688 949606 1024954 1085264 1171376 1899212 2049908 3798424 4099816 7596848 8199632 12141391 24282782 27742061 48565564 55484122 84989737 97131128 110968244 169979474 194194427 194262256 221936488 339958948 388388854 443872976 679917896 776777708 1359835792 1553555416 3107110832 4965828919 9931657838 19863315676 34760802433 39726631352 69521604866 79453262704 139043209732 278086419464 556172838928