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20556157272 = 23375319711719
BaseRepresentation
bin10011001001001111…
…100001000101011000
31222001121000222121020
4103021033201011120
5314044334013042
613235433442440
71325254311450
oct231117410530
958047028536
1020556157272
118799462232
123b98270420
131c27992891
14dd00d8d60
158049c83ec
hex4c93e1158

20556157272 has 128 divisors (see below), whose sum is σ = 60148915200. Its totient is φ = 5732633088.

The previous prime is 20556157231. The next prime is 20556157289. The reversal of 20556157272 is 27275165502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748229 + ... + 1759947.

It is an arithmetic number, because the mean of its divisors is an integer number (469913400).

Almost surely, 220556157272 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 20556157272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30074457600).

20556157272 is an abundant number, since it is smaller than the sum of its proper divisors (39592757928).

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

20556157272 is a wasteful number, since it uses less digits than its factorization.

20556157272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11985 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 20556157272 in words is "twenty billion, five hundred fifty-six million, one hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 197 212 318 371 394 424 591 636 742 788 1113 1182 1272 1379 1484 1576 2226 2364 2758 2968 4137 4452 4728 5516 8274 8904 10441 11032 11719 16548 20882 23438 31323 33096 35157 41764 46876 62646 70314 73087 82033 83528 93752 125292 140628 146174 164066 219261 246099 250584 281256 292348 328132 438522 492198 584696 621107 656264 877044 984396 1242214 1754088 1863321 1968792 2308643 2484428 3726642 4347749 4617286 4968856 6925929 7453284 8695498 9234572 13043247 13851858 14906568 16160501 17390996 18469144 26086494 27703716 32321002 34781992 48481503 52172988 55407432 64642004 96963006 104345976 122358079 129284008 193926012 244716158 367074237 387852024 489432316 734148474 856506553 978864632 1468296948 1713013106 2569519659 2936593896 3426026212 5139039318 6852052424 10278078636 20556157272