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113678755560 = 23335131803497
BaseRepresentation
bin110100111011111001…
…0000010011011101000
3101212102110122010022000
41221313302002123220
53330303230134220
6124120122131000
711133031323216
oct1516762023350
9355373563260
10113678755560
114423576a667
121a046950a60
13a9486c2b46
1457059d3cb6
152e55064390
hex1a77c826e8

113678755560 has 128 divisors (see below), whose sum is σ = 381822249600. Its totient is φ = 30082890240.

The previous prime is 113678755549. The next prime is 113678755583. The reversal of 113678755560 is 65557876311.

It is a happy number.

113678755560 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 7 + 8 + 75 + 5 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 113678755497 and 113678755506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260269 + ... + 543228.

It is an arithmetic number, because the mean of its divisors is an integer number (2982986325).

Almost surely, 2113678755560 is an apocalyptic number.

113678755560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113678755560 is an abundant number, since it is smaller than the sum of its proper divisors (268143494040).

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

113678755560 is a wasteful number, since it uses less digits than its factorization.

113678755560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803648 (or 803638 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 113678755560 in words is "one hundred thirteen billion, six hundred seventy-eight million, seven hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 131 135 180 216 262 270 360 393 524 540 655 786 1048 1080 1179 1310 1572 1965 2358 2620 3144 3537 3930 4716 5240 5895 7074 7860 9432 11790 14148 15720 17685 23580 28296 35370 47160 70740 141480 803497 1606994 2410491 3213988 4017485 4820982 6427976 7231473 8034970 9641964 12052455 14462946 16069940 19283928 21694419 24104910 28925892 32139880 36157365 43388838 48209820 57851784 72314730 86777676 96419640 105258107 108472095 144629460 173555352 210516214 216944190 289258920 315774321 421032428 433888380 526290535 631548642 842064856 867776760 947322963 1052581070 1263097284 1578871605 1894645926 2105162140 2526194568 2841968889 3157743210 3789291852 4210324280 4736614815 5683937778 6315486420 7578583704 9473229630 11367875556 12630972840 14209844445 18946459260 22735751112 28419688890 37892918520 56839377780 113678755560