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56347697952 = 2534713594049
BaseRepresentation
bin110100011110100101…
…011010001100100000
312101102222010122020000
4310132211122030200
51410400002313302
641515154420000
74033230346530
oct643645321440
9171388118200
1056347697952
1121995896517
12ab06891600
13540cb96c10
142a277ab4c0
1516ebcae31c
hexd1e95a320

56347697952 has 480 divisors, whose sum is σ = 207467568000. Its totient is φ = 14605443072.

The previous prime is 56347697927. The next prime is 56347697963. The reversal of 56347697952 is 25979674365.

56347697952 is a `hidden beast` number, since 563 + 4 + 7 + 69 + 7 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 56347697952.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13914424 + ... + 13918472.

It is an arithmetic number, because the mean of its divisors is an integer number (432224100).

Almost surely, 256347697952 is an apocalyptic number.

56347697952 is a gapful number since it is divisible by the number (52) 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 56347697952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103733784000).

56347697952 is an abundant number, since it is smaller than the sum of its proper divisors (151119870048).

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

56347697952 is a wasteful number, since it uses less digits than its factorization.

56347697952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4133 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 56347697952 in words is "fifty-six billion, three hundred forty-seven million, six hundred ninety-seven thousand, nine hundred fifty-two".