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55325952000 = 2113253113759
BaseRepresentation
bin110011100001101011…
…110000100000000000
312021210202112120021100
4303201223300200000
51401301420431000
641225535054400
73666012555414
oct634153604000
9167722476240
1055325952000
112151106a680
12a880671400
1352a92b4a07
14296bbdcd44
15168c234a00
hexce1af0800

55325952000 has 1152 divisors, whose sum is σ = 227215497600. Its totient is φ = 12828672000.

The previous prime is 55325951951. The next prime is 55325952007. The reversal of 55325952000 is 25952355.

55325952000 is a `hidden beast` number, since 55 + 32 + 59 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 not an unprimeable number, because it can be changed into a prime (55325952007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 937727971 + ... + 937728029.

It is an arithmetic number, because the mean of its divisors is an integer number (197235675).

Almost surely, 255325952000 is an apocalyptic number.

55325952000 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 55325952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113607748800).

55325952000 is an abundant number, since it is smaller than the sum of its proper divisors (171889545600).

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

55325952000 is a wasteful number, since it uses less digits than its factorization.

55325952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 55325952000 in words is "fifty-five billion, three hundred twenty-five million, nine hundred fifty-two thousand".