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56053555200 = 213345231109
BaseRepresentation
bin110100001101000011…
…010110000000000000
312100200110122122020000
4310031003112000000
51404244202231300
641430050120000
74023026233506
oct641503260000
9170613578200
1056053555200
1121854852735
12aa44280000
135393c6a156
1429da6c0676
1516d105ac00
hexd0d0d6000

56053555200 has 840 divisors, whose sum is σ = 216313268160. Its totient is φ = 14332723200.

The previous prime is 56053555189. The next prime is 56053555211. The reversal of 56053555200 is 255535065.

56053555200 is a `hidden beast` number, since 56 + 0 + 53 + 5 + 552 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56053555189) and next prime (56053555211).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 514252746 + ... + 514252854.

Almost surely, 256053555200 is an apocalyptic number.

56053555200 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 56053555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108156634080).

56053555200 is an abundant number, since it is smaller than the sum of its proper divisors (160259712960).

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

56053555200 is a wasteful number, since it uses less digits than its factorization.

56053555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 56053555200 in words is "fifty-six billion, fifty-three million, five hundred fifty-five thousand, two hundred".