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56451225600 = 21132527113743
BaseRepresentation
bin110100100100110000…
…010101100000000000
312101201011221101110100
4310210300111200000
51411103003204400
641533333402400
74035625333440
oct644460254000
9171634841410
1056451225600
1121a39277360
12ab35499400
135428474293
142a3743a120
151705e0e100
hexd24c15800

56451225600 has 1728 divisors, whose sum is σ = 264890545920. Its totient is φ = 11147673600.

The previous prime is 56451225583. The next prime is 56451225617. The reversal of 56451225600 is 652215465.

56451225600 is a `hidden beast` number, since 5 + 6 + 45 + 1 + 2 + 2 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (56451225583) and next prime (56451225617).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 1312819179 + ... + 1312819221.

It is an arithmetic number, because the mean of its divisors is an integer number (153293140).

Almost surely, 256451225600 is an apocalyptic number.

56451225600 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 56451225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132445272960).

56451225600 is an abundant number, since it is smaller than the sum of its proper divisors (208439320320).

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

56451225600 is a wasteful number, since it uses less digits than its factorization.

56451225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 56451225600 in words is "fifty-six billion, four hundred fifty-one million, two hundred twenty-five thousand, six hundred".