Search a number
-
+
1313806924872 = 2333131924625261
BaseRepresentation
bin10011000111100100111…
…111101011110001001000
311122121011110111220112000
4103013210333223301020
5133011134033043442
62443315441551000
7163630234413561
oct23074477536110
94577143456460
101313806924872
11467200838202
1219275b345460
1396b78704c80
1447835163168
152429611ad4c
hex131e4febc48

1313806924872 has 128 divisors (see below), whose sum is σ = 4137044016000. Its totient is φ = 382972043520.

The previous prime is 1313806924819. The next prime is 1313806924883. The reversal of 1313806924872 is 2784296083131.

It is a happy number.

1313806924872 is a `hidden beast` number, since 1 + 313 + 80 + 6 + 9 + 248 + 7 + 2 = 666.

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

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, 12259279 + ... + 12365982.

It is an arithmetic number, because the mean of its divisors is an integer number (32320656375).

Almost surely, 21313806924872 is an apocalyptic number.

1313806924872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313806924872 is an abundant number, since it is smaller than the sum of its proper divisors (2823237091128).

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

1313806924872 is a wasteful number, since it uses less digits than its factorization.

1313806924872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24625308 (or 24625298 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1313806924872 in words is "one trillion, three hundred thirteen billion, eight hundred six million, nine hundred twenty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 53352 24625261 49250522 73875783 98501044 147751566 197002088 221627349 295503132 320128393 443254698 467879959 591006264 640256786 664882047 886509396 935759918 960385179 1280513572 1329764094 1403639877 1773018792 1871519836 1920770358 2561027144 2659528188 2807279754 2881155537 3743039672 3841540716 4210919631 5319056376 5614559508 5762311074 6082439467 7683081432 8421839262 8643466611 11229119016 11524622148 12164878934 12632758893 16843678524 17286933222 18247318401 23049244296 24329757868 25265517786 33687357048 34573866444 36494636802 48659515736 50531035572 54741955203 69147732888 72989273604 101062071144 109483910406 145978547208 164225865609 218967820812 328451731218 437935641624 656903462436 1313806924872