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20907766656 = 2736732009
BaseRepresentation
bin10011011110001100…
…110011001110000000
31222222002122121000000
4103132030303032000
5320304342013111
613334354000000
71340054040630
oct233614631600
958862577000
1020907766656
1189599865a7
124075b76000
131c8279047a
141024aa46c0
158257cdc56
hex4de333380

20907766656 has 224 divisors, whose sum is σ = 71373337200. Its totient is φ = 5973460992.

The previous prime is 20907766651. The next prime is 20907766667. The reversal of 20907766656 is 65666770902.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20907766651) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 637180 + ... + 669188.

Almost surely, 220907766656 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 20907766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35686668600).

20907766656 is an abundant number, since it is smaller than the sum of its proper divisors (50465570544).

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

20907766656 is an frugal number, since it uses more digits than its factorization.

20907766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32048 (or 32021 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 20907766656 in words is "twenty billion, nine hundred seven million, seven hundred sixty-six thousand, six hundred fifty-six".