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113566640020 = 225191097733547
BaseRepresentation
bin110100111000100011…
…0010110011110010100
3101212010122200001200121
41221301012112132110
53330041024440040
6124101035121324
711130200340601
oct1516106263624
9355118601617
10113566640020
1144188453599
121a0152a3244
13a92b3c98a2
1456d4b6b6a8
152e4a2b9c4a
hex1a71196794

113566640020 has 96 divisors (see below), whose sum is σ = 253744444800. Its totient is φ = 42573786624.

The previous prime is 113566639999. The next prime is 113566640027. The reversal of 113566640020 is 20046665311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113566640027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32015887 + ... + 32019433.

It is an arithmetic number, because the mean of its divisors is an integer number (2643171300).

Almost surely, 2113566640020 is an apocalyptic number.

113566640020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113566640020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126872222400).

113566640020 is an abundant number, since it is smaller than the sum of its proper divisors (140177804780).

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

113566640020 is a wasteful number, since it uses less digits than its factorization.

113566640020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 113566640020 in words is "one hundred thirteen billion, five hundred sixty-six million, six hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 773 1090 1546 2071 2180 3092 3547 3865 4142 7094 7730 8284 10355 14188 14687 15460 17735 20710 29374 35470 41420 58748 67393 70940 73435 84257 134786 146870 168514 269572 293740 336965 337028 386623 421285 673930 773246 842570 1347860 1546492 1600883 1685140 1933115 2741831 3201766 3866230 5483662 6403532 7345837 7732460 8004415 10967324 13709155 14691674 16008830 27418310 29383348 32017660 36729185 52094789 54836620 73458370 104189578 146916740 208379156 260473945 298859579 520947890 597719158 1041895780 1195438316 1494297895 2988595790 5678332001 5977191580 11356664002 22713328004 28391660005 56783320010 113566640020