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56363696640 = 293351077621
BaseRepresentation
bin110100011111100010…
…011100001000000000
312101111002020110022000
4310133202130020000
51410413101243030
641520525344000
74033513342116
oct643742341000
9171432213260
1056363696640
11219a3923579
12ab10108000
1354132a8cb4
142a29973ab6
1516ed3be860
hexd1f89c200

56363696640 has 320 divisors, whose sum is σ = 202106171520. Its totient is φ = 14887895040.

The previous prime is 56363696633. The next prime is 56363696677. The reversal of 56363696640 is 4669636365.

It is a happy number.

56363696640 is a `hidden beast` number, since 563 + 6 + 36 + 9 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7392030 + ... + 7399650.

It is an arithmetic number, because the mean of its divisors is an integer number (631581786).

Almost surely, 256363696640 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 56363696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101053085760).

56363696640 is an abundant number, since it is smaller than the sum of its proper divisors (145742474880).

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

56363696640 is a wasteful number, since it uses less digits than its factorization.

56363696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 56363696640 in words is "fifty-six billion, three hundred sixty-three million, six hundred ninety-six thousand, six hundred forty".