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56157272640 = 2632572785579
BaseRepresentation
bin110100010011001110…
…111111101001000000
312100221200211000210200
4310103032333221000
51410002230211030
641444233125200
74025425640640
oct642316775100
9170850730720
1056157272640
11218a8353127
12aa72b59800
1353ac5b2a11
142a0a39c520
1516da1e6d60
hexd133bfa40

56157272640 has 168 divisors, whose sum is σ = 220751643840. Its totient is φ = 12835943424.

The previous prime is 56157272597. The next prime is 56157272641. The reversal of 56157272640 is 4627275165.

56157272640 is a `hidden beast` number, since 5 + 6 + 1 + 572 + 72 + 6 + 4 + 0 = 666.

56157272640 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 (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56157272641) 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, 1372630 + ... + 1412949.

It is an arithmetic number, because the mean of its divisors is an integer number (1313997880).

Almost surely, 256157272640 is an apocalyptic number.

It is an amenable number.

56157272640 is an abundant number, since it is smaller than the sum of its proper divisors (164594371200).

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

56157272640 is a wasteful number, since it uses less digits than its factorization.

56157272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785609 (or 2785596 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 56157272640 in words is "fifty-six billion, one hundred fifty-seven million, two hundred seventy-two thousand, six hundred forty".