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20814131736 = 2333139968879
BaseRepresentation
bin10011011000100111…
…100111001000011000
31222201120110110001000
4103120213213020120
5320111404203421
613321211025000
71334536125546
oct233047471030
958646413030
1020814131736
118911042272
12404a73b160
131c69267ba8
14101648cd96
1581c485226
hex4d89e7218

20814131736 has 64 divisors (see below), whose sum is σ = 57859200000. Its totient is φ = 6932983968.

The previous prime is 20814131717. The next prime is 20814131759. The reversal of 20814131736 is 63713141802.

It is a happy number.

20814131736 is a `hidden beast` number, since 208 + 1 + 413 + 1 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20814131736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267745 + ... + 336623.

It is an arithmetic number, because the mean of its divisors is an integer number (904050000).

Almost surely, 220814131736 is an apocalyptic number.

It is an amenable number.

20814131736 is an abundant number, since it is smaller than the sum of its proper divisors (37045068264).

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

20814131736 is a wasteful number, since it uses less digits than its factorization.

20814131736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70293 (or 70283 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20814131736 in words is "twenty billion, eight hundred fourteen million, one hundred thirty-one thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1399 2798 4197 5596 8394 11192 12591 16788 25182 33576 37773 50364 68879 75546 100728 137758 151092 206637 275516 302184 413274 551032 619911 826548 1239822 1653096 1859733 2479644 3719466 4959288 7438932 14877864 96361721 192723442 289085163 385446884 578170326 770893768 867255489 1156340652 1734510978 2312681304 2601766467 3469021956 5203532934 6938043912 10407065868 20814131736