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113640865780 = 225133143932117
BaseRepresentation
bin110100111010110000…
…1011111111111110100
3101212022211100010021211
41221311201133333310
53330214030201110
6124112250051204
711132061264331
oct1516541377764
9355284303254
10113640865780
11442163404a2
121a036119b04
13a9408b7960
14570096d988
152e51a7c98a
hex1a7585fff4

113640865780 has 96 divisors (see below), whose sum is σ = 265906206720. Its totient is φ = 40512407040.

The previous prime is 113640865777. The next prime is 113640865783. The reversal of 113640865780 is 87568046311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113640865777) and next prime (113640865783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113640865783) 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, 3522282 + ... + 3554398.

It is an arithmetic number, because the mean of its divisors is an integer number (2769856320).

Almost surely, 2113640865780 is an apocalyptic number.

113640865780 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 113640865780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132953103360).

113640865780 is an abundant number, since it is smaller than the sum of its proper divisors (152265340940).

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

113640865780 is a wasteful number, since it uses less digits than its factorization.

113640865780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32609 (or 32607 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 113640865780 in words is "one hundred thirteen billion, six hundred forty million, eight hundred sixty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 439 620 806 878 1612 1756 2015 2195 4030 4390 5707 8060 8780 11414 13609 22828 27218 28535 32117 54436 57070 64234 68045 114140 128468 136090 160585 176917 272180 321170 353834 417521 642340 707668 835042 884585 995627 1670084 1769170 1991254 2087605 3538340 3982508 4175210 4978135 8350420 9956270 12943151 14099363 19912540 25886302 28198726 51772604 56397452 64715755 70496815 129431510 140993630 183291719 258863020 281987260 366583438 437080253 733166876 874160506 916458595 1748321012 1832917190 2185401265 3665834380 4370802530 5682043289 8741605060 11364086578 22728173156 28410216445 56820432890 113640865780