Search a number
-
+
53525654112 = 2537215717243
BaseRepresentation
bin110001110110011000…
…001010101001100000
312010011021221221211210
4301312120022221200
51334110031412422
640331144310120
73603262360500
oct616630125140
9163137857753
1053525654112
1120777922187
12a459772340
13508031c1a8
14283aa89a00
1515d416d10c
hexc7660aa60

53525654112 has 144 divisors (see below), whose sum is σ = 163571026752. Its totient is φ = 15281199360.

The previous prime is 53525654111. The next prime is 53525654153. The reversal of 53525654112 is 21145652535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53525654111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7386363 + ... + 7393605.

It is an arithmetic number, because the mean of its divisors is an integer number (1135909908).

Almost surely, 253525654112 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 53525654112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81785513376).

53525654112 is an abundant number, since it is smaller than the sum of its proper divisors (110045372640).

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

53525654112 is a wasteful number, since it uses less digits than its factorization.

53525654112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8826 counting only the distinct ones).

The product of its digits is 180000, while the sum is 39.

The spelling of 53525654112 in words is "fifty-three billion, five hundred twenty-five million, six hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 1571 2352 3142 4704 4713 6284 7243 9426 10997 12568 14486 18852 21729 21994 25136 28972 32991 37704 43458 43988 50272 50701 57944 65982 75408 76979 86916 87976 101402 115888 131964 150816 152103 153958 173832 175952 202804 230937 231776 263928 304206 307916 347664 351904 354907 405608 461874 527856 608412 615832 695328 709814 811216 923748 1055712 1064721 1216824 1231664 1419628 1622432 1847496 2129442 2433648 2463328 2839256 3694992 4258884 4867296 5678512 7389984 8517768 11357024 11378753 17035536 22757506 34071072 34136259 45515012 68272518 79651271 91030024 136545036 159302542 182060048 238953813 273090072 318605084 364120096 477907626 546180144 557558897 637210168 955815252 1092360288 1115117794 1274420336 1672676691 1911630504 2230235588 2548840672 3345353382 3823261008 4460471176 6690706764 7646522016 8920942352 13381413528 17841884704 26762827056 53525654112