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20864704896 = 273372123209
BaseRepresentation
bin10011011011101000…
…100010000110000000
31222212002121211101000
4103123220202012000
5320212331024041
613330215012000
71336022031300
oct233350420600
958762554330
1020864704896
118937644672
12406366a000
131c76894139
14101d095600
15821b24bb6
hex4dba22180

20864704896 has 192 divisors, whose sum is σ = 71634294000. Its totient is φ = 5961295872.

The previous prime is 20864704879. The next prime is 20864704999. The reversal of 20864704896 is 69840746802.

20864704896 is a `hidden beast` number, since 2 + 0 + 86 + 470 + 4 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 107740 + ... + 230948.

Almost surely, 220864704896 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 20864704896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35817147000).

20864704896 is an abundant number, since it is smaller than the sum of its proper divisors (50769589104).

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

20864704896 is a wasteful number, since it uses less digits than its factorization.

20864704896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123246 (or 123221 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20864704896 in words is "twenty billion, eight hundred sixty-four million, seven hundred four thousand, eight hundred ninety-six".