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56331025920 = 29325132172337
BaseRepresentation
bin110100011101100101…
…110011111000000000
312101101210202121111100
4310131211303320000
51410331220312140
641513401214400
74032635551161
oct643545637000
9171353677440
1056331025920
1121987439584
12ab01191400
1354095aa500
142a254ab768
1516ea5b9530
hexd1d973e00

56331025920 has 1440 divisors, whose sum is σ = 239711389632. Its totient is φ = 12145655808.

The previous prime is 56331025799. The next prime is 56331025921. The reversal of 56331025920 is 2952013365.

56331025920 is a `hidden beast` number, since 5 + 63 + 3 + 1 + 0 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56331025921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1522460142 + ... + 1522460178.

Almost surely, 256331025920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56331025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119855694816).

56331025920 is an abundant number, since it is smaller than the sum of its proper divisors (183380363712).

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

56331025920 is a wasteful number, since it uses less digits than its factorization.

56331025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 56331025920 in words is "fifty-six billion, three hundred thirty-one million, twenty-five thousand, nine hundred twenty".