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20918147136 = 2633719714947
BaseRepresentation
bin10011011110110100…
…011001100001000000
31222222211011222100020
4103132310121201000
5320320021202021
613335404253440
71340241213465
oct233664314100
958884158306
1020918147136
118964826607
124079541280
131c84986273
14102620766c
1582667e7c6
hex4ded19840

20918147136 has 112 divisors (see below), whose sum is σ = 57134126016. Its totient is φ = 6749374464.

The previous prime is 20918147123. The next prime is 20918147143. The reversal of 20918147136 is 63174181902.

It is a happy 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, 1392015 + ... + 1406961.

Almost surely, 220918147136 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 20918147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28567063008).

20918147136 is an abundant number, since it is smaller than the sum of its proper divisors (36215978880).

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

20918147136 is a wasteful number, since it uses less digits than its factorization.

20918147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15196 (or 15186 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 20918147136 in words is "twenty billion, nine hundred eighteen million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 197 222 296 394 444 591 592 788 888 1182 1184 1576 1776 2364 2368 3152 3552 4728 6304 7104 7289 9456 12608 14578 14947 18912 21867 29156 29894 37824 43734 44841 58312 59788 87468 89682 116624 119576 174936 179364 233248 239152 349872 358728 466496 478304 553039 699744 717456 956608 1106078 1399488 1434912 1659117 2212156 2869824 2944559 3318234 4424312 5889118 6636468 8833677 8848624 11778236 13272936 17667354 17697248 23556472 26545872 35334708 35394496 47112944 53091744 70669416 94225888 106183488 108948683 141338832 188451776 217897366 282677664 326846049 435794732 565355328 653692098 871589464 1307384196 1743178928 2614768392 3486357856 5229536784 6972715712 10459073568 20918147136