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20367680256 = 28337311271
BaseRepresentation
bin10010111110000000…
…100010001100000000
31221120110101100202000
4102332000202030000
5313203111232011
613205022024000
71320505266000
oct227600421400
957513340660
1020367680256
11870202a700
123b45118000
131bc7911411
14db3076000
157e3198356
hex4be022300

20367680256 has 864 divisors, whose sum is σ = 78293376000. Its totient is φ = 5215795200.

The previous prime is 20367680239. The next prime is 20367680261. The reversal of 20367680256 is 65208676302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 286868701 + ... + 286868771.

Almost surely, 220367680256 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 20367680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39146688000).

20367680256 is an abundant number, since it is smaller than the sum of its proper divisors (57925695744).

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

20367680256 is an equidigital number, since it uses as much as digits as its factorization.

20367680256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20367680256 in words is "twenty billion, three hundred sixty-seven million, six hundred eighty thousand, two hundred fifty-six".