Search a number
-
+
113360888676 = 223725316992141
BaseRepresentation
bin110100110010011010…
…1011110001101100100
3101211121022111210220110
41221210311132031210
53324130341414201
6124024405133020
711122121440500
oct1514465361544
9354538453813
10113360888676
11440922a2562
1219b783ba170
13a8c78aa829
1456b56cd300
152e371c66d6
hex1a64d5e364

113360888676 has 144 divisors (see below), whose sum is σ = 313830417600. Its totient is φ = 31744177920.

The previous prime is 113360888671. The next prime is 113360888699. The reversal of 113360888676 is 676888063311.

It is not an unprimeable number, because it can be changed into a prime (113360888671) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 52946566 + ... + 52948706.

It is an arithmetic number, because the mean of its divisors is an integer number (2179377900).

Almost surely, 2113360888676 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 113360888676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156915208800).

113360888676 is an abundant number, since it is smaller than the sum of its proper divisors (200469528924).

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

113360888676 is a wasteful number, since it uses less digits than its factorization.

113360888676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 113360888676 in words is "one hundred thirteen billion, three hundred sixty million, eight hundred eighty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 1699 2141 2226 2597 3398 4282 4452 5097 5194 6423 6796 7791 8564 10194 10388 11893 12846 14987 15582 20388 23786 25692 29974 31164 35679 44961 47572 59948 71358 83251 89922 90047 104909 113473 142716 166502 179844 180094 209818 226946 249753 270141 314727 333004 340419 360188 419636 453892 499506 540282 629454 630329 680838 794311 999012 1080564 1258908 1260658 1361676 1588622 1890987 2382933 2521316 3177244 3637559 3781974 4412303 4765866 5560177 7275118 7563948 8824606 9531732 10912677 11120354 13236909 14550236 16680531 17649212 21825354 22240708 25462913 26473818 33361062 43650708 50925826 52947636 66722124 76388739 101851652 152777478 178240391 192790627 305554956 356480782 385581254 534721173 578371881 712961564 771162508 1069442346 1156743762 1349534389 2138884692 2313487524 2699068778 4048603167 5398137556 8097206334 9446740723 16194412668 18893481446 28340222169 37786962892 56680444338 113360888676