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20874550697856 = 27333743127167179
BaseRepresentation
bin1001011111100001111000…
…01011011101111110000000
32201220120212022220002102000
410233300330023131332000
510214002034434312411
6112221345230424000
74253064553216152
oct457607413357600
981816768802360
1020874550697856
116718935741519
122411764962000
13b8560042247b
14522495740ad2
15262edd03d956
hex12fc3c2ddf80

20874550697856 has 1024 divisors, whose sum is σ = 66012807168000. Its totient is φ = 6484894359552.

The previous prime is 20874550697843. The next prime is 20874550697953. The reversal of 20874550697856 is 65879605547802.

20874550697856 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 4 + 550 + 69 + 7 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116617601575 + ... + 116617601753.

It is an arithmetic number, because the mean of its divisors is an integer number (64465632000).

Almost surely, 220874550697856 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 20874550697856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33006403584000).

20874550697856 is an abundant number, since it is smaller than the sum of its proper divisors (45138256470144).

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

20874550697856 is a wasteful number, since it uses less digits than its factorization.

20874550697856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 20874550697856 in words is "twenty trillion, eight hundred seventy-four billion, five hundred fifty million, six hundred ninety-seven thousand, eight hundred fifty-six".