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56343796704 = 253213412831297
BaseRepresentation
bin110100011110010110…
…100001101111100000
312101102200210102201100
4310132112201233200
51410343002443304
641514535034400
74033152240606
oct643626415740
9171380712640
1056343796704
1121993671448
12ab0550ba00
13540c12c2a0
142a27073876
1516eb78d439
hexd1e5a1be0

56343796704 has 288 divisors, whose sum is σ = 177522849504. Its totient is φ = 16840949760.

The previous prime is 56343796703. The next prime is 56343796727. The reversal of 56343796704 is 40769734365.

It is a happy number.

56343796704 is a `hidden beast` number, since 56 + 3 + 437 + 96 + 70 + 4 = 666.

56343796704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56343796703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43440984 + ... + 43442280.

It is an arithmetic number, because the mean of its divisors is an integer number (616398783).

Almost surely, 256343796704 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 56343796704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88761424752).

56343796704 is an abundant number, since it is smaller than the sum of its proper divisors (121179052800).

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

56343796704 is a wasteful number, since it uses less digits than its factorization.

56343796704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 56343796704 in words is "fifty-six billion, three hundred forty-three million, seven hundred ninety-six thousand, seven hundred four".