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20360056320 = 29355231423
BaseRepresentation
bin10010111101100011…
…011100111000000000
31221112221001000200000
4102331203130320000
5313144133300240
613204150400000
71320353423532
oct227543347000
957487030600
1020360056320
1186a87a272a
123b42660000
131bc6172206
14db204d852
157e268e430
hex4bd8dce00

20360056320 has 480 divisors, whose sum is σ = 76357112832. Its totient is φ = 5189640192.

The previous prime is 20360056291. The next prime is 20360056333. The reversal of 20360056320 is 2365006302.

20360056320 is a `hidden beast` number, since 2 + 0 + 3 + 600 + 56 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 14307129 + ... + 14308551.

Almost surely, 220360056320 is an apocalyptic number.

20360056320 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 20360056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38178556416).

20360056320 is an abundant number, since it is smaller than the sum of its proper divisors (55997056512).

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

20360056320 is an equidigital number, since it uses as much as digits as its factorization.

20360056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 20360056320 in words is "twenty billion, three hundred sixty million, fifty-six thousand, three hundred twenty".