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556857855264 = 25371127763977
BaseRepresentation
bin10000001101001110101…
…00001000110100100000
31222020100101022000201210
420012213110020310200
533110421102332024
61103452244230120
755142312446254
oct10064724106440
91866311260653
10556857855264
111a5186818727
128bb0a69b340
1340685915109
141cd4866c264
15e7425b5129
hex81a7508d20

556857855264 has 96 divisors (see below), whose sum is σ = 1483523911296. Its totient is φ = 182858762240.

The previous prime is 556857855241. The next prime is 556857855289. The reversal of 556857855264 is 462558758655.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 556857855195 and 556857855204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8672044 + ... + 8736020.

It is an arithmetic number, because the mean of its divisors is an integer number (15453374076).

Almost surely, 2556857855264 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 556857855264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741761955648).

556857855264 is an abundant number, since it is smaller than the sum of its proper divisors (926666056032).

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

556857855264 is a wasteful number, since it uses less digits than its factorization.

556857855264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65338 (or 65330 counting only the distinct ones).

The product of its digits is 403200000, while the sum is 66.

The spelling of 556857855264 in words is "five hundred fifty-six billion, eight hundred fifty-seven million, eight hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1277 1704 2272 2554 3408 3831 5108 6816 7662 10216 15324 20432 30648 40864 61296 63977 90667 122592 127954 181334 191931 255908 272001 362668 383862 511816 544002 725336 767724 1023632 1088004 1450672 1535448 2047264 2176008 2901344 3070896 4352016 4542367 6141792 8704032 9084734 13627101 18169468 27254202 36338936 54508404 72677872 81698629 109016808 145355744 163397258 218033616 245095887 326794516 436067232 490191774 653589032 980383548 1307178064 1960767096 2614356128 3921534192 5800602659 7843068384 11601205318 17401807977 23202410636 34803615954 46404821272 69607231908 92809642544 139214463816 185619285088 278428927632 556857855264