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56575088556 = 22372563170899
BaseRepresentation
bin110100101100001000…
…110101011110101100
312102000211000021111020
4310230020311132230
51411331210313211
641553520254140
74041661214100
oct645410653654
9172024007436
1056575088556
1121aa2187438
12ab6aa71350
13544802157c
142a49a7d900
151711c29306
hexd2c2357ac

56575088556 has 72 divisors (see below), whose sum is σ = 153834609600. Its totient is φ = 16135505568.

The previous prime is 56575088551. The next prime is 56575088561. The reversal of 56575088556 is 65588057565.

56575088556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56575088551) and next prime (56575088561).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56575088556.

It is not an unprimeable number, because it can be changed into a prime (56575088551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245595 + ... + 416493.

It is an arithmetic number, because the mean of its divisors is an integer number (2136591800).

Almost surely, 256575088556 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 56575088556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76917304800).

56575088556 is an abundant number, since it is smaller than the sum of its proper divisors (97259521044).

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

56575088556 is a wasteful number, since it uses less digits than its factorization.

56575088556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171483 (or 171474 counting only the distinct ones).

The product of its (nonzero) digits is 50400000, while the sum is 60.

The spelling of 56575088556 in words is "fifty-six billion, five hundred seventy-five million, eighty-eight thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 563 588 1126 1689 2252 3378 3941 6756 7882 11823 15764 23646 27587 47292 55174 82761 110348 165522 170899 331044 341798 512697 683596 1025394 1196293 2050788 2392586 3588879 4785172 7177758 8374051 14355516 16748102 25122153 33496204 50244306 96216137 100488612 192432274 288648411 384864548 577296822 673512959 1154593644 1347025918 2020538877 2694051836 4041077754 4714590713 8082155508 9429181426 14143772139 18858362852 28287544278 56575088556