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56045793375 = 3653112131723
BaseRepresentation
bin110100001100100101…
…101111000001011111
312100122221001022000000
4310030211233001133
51404240210342000
641425211505343
74022603245335
oct641445570137
9170587038000
1056045793375
1121850431100
12aa41758253
135392480260
1429d965db55
1516d0526000
hexd0c96f05f

56045793375 has 672 divisors, whose sum is σ = 137153907072. Its totient is φ = 22581504000.

The previous prime is 56045793373. The next prime is 56045793379. The reversal of 56045793375 is 57339754065.

56045793375 is a `hidden beast` number, since 5 + 60 + 4 + 579 + 3 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 56045793375 - 21 = 56045793373 is a prime.

It is a super-2 number, since 2×560457933752 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56045793371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 2436773614 + ... + 2436773636.

It is an arithmetic number, because the mean of its divisors is an integer number (204098076).

Almost surely, 256045793375 is an apocalyptic number.

56045793375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56045793375 is an abundant number, since it is smaller than the sum of its proper divisors (81108113697).

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

56045793375 is a wasteful number, since it uses less digits than its factorization.

56045793375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 56045793375 in words is "fifty-six billion, forty-five million, seven hundred ninety-three thousand, three hundred seventy-five".