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56074049100 = 2232522914914419
BaseRepresentation
bin110100001110010001…
…100001011001001100
312100201220012211120100
4310032101201121030
51404314424032400
641432101251100
74023365360466
oct641621413114
9170656184510
1056074049100
1121865380043
12aa4b103a90
135398294314
1429dd2d7136
1516d2c58100
hexd0e46164c

56074049100 has 216 divisors, whose sum is σ = 183054690000. Its totient is φ = 14339566080.

The previous prime is 56074049093. The next prime is 56074049111. The reversal of 56074049100 is 194047065.

56074049100 is a `hidden beast` number, since 5 + 607 + 4 + 0 + 49 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3881691 + ... + 3896109.

Almost surely, 256074049100 is an apocalyptic number.

56074049100 is a gapful number since it is divisible by the number (50) 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 56074049100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91527345000).

56074049100 is an abundant number, since it is smaller than the sum of its proper divisors (126980640900).

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

56074049100 is a wasteful number, since it uses less digits than its factorization.

56074049100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14617 (or 14607 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 56074049100 in words is "fifty-six billion, seventy-four million, forty-nine thousand, one hundred".