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20925112320 = 21334571753
BaseRepresentation
bin10011011111001110…
…111110000000000000
32000000022021211210000
4103133032332000000
5320323312043240
613340213440000
71340354343240
oct233716760000
960008254700
1020925112320
118968753662
12407b940000
131c86254688
1410270dbb20
158270a8430
hex4df3be000

20925112320 has 1120 divisors, whose sum is σ = 92488195008. Its totient is φ = 4416602112.

The previous prime is 20925112291. The next prime is 20925112331. The reversal of 20925112320 is 2321152902.

It is a happy number.

20925112320 is a `hidden beast` number, since 20 + 92 + 511 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 394813414 + ... + 394813466.

Almost surely, 220925112320 is an apocalyptic number.

20925112320 is a gapful number since it is divisible by the number (20) 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 20925112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46244097504).

20925112320 is an abundant number, since it is smaller than the sum of its proper divisors (71563082688).

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

20925112320 is an equidigital number, since it uses as much as digits as its factorization.

20925112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20925112320 in words is "twenty billion, nine hundred twenty-five million, one hundred twelve thousand, three hundred twenty".