Search a number
-
+
12925136863008 = 253360724645221
BaseRepresentation
bin1011110000010101111000…
…1100001111111100100000
31200202122001000022010121000
42330011132030033330200
53143231140014104013
643253420443432000
72502544640420646
oct274053614177440
950678030263530
1012925136863008
11413357988a947
121548b8a225600
13729ab1b61716
143298195b7196
1517632c156973
hexbc15e30ff20

12925136863008 has 96 divisors (see below), whose sum is σ = 37760423339520. Its totient is φ = 4301280956160.

The previous prime is 12925136862973. The next prime is 12925136863087. The reversal of 12925136863008 is 80036863152921.

12925136863008 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 513 + 68 + 63 + 0 + 0 + 8 = 666.

12925136863008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 11798163 + ... + 12847058.

It is an arithmetic number, because the mean of its divisors is an integer number (393337743120).

Almost surely, 212925136863008 is an apocalyptic number.

12925136863008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12925136863008 is an abundant number, since it is smaller than the sum of its proper divisors (24835286476512).

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

12925136863008 is a wasteful number, since it uses less digits than its factorization.

12925136863008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24645847 (or 24645833 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12925136863008 in words is "twelve trillion, nine hundred twenty-five billion, one hundred thirty-six million, eight hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 607 864 1214 1821 2428 3642 4856 5463 7284 9712 10926 14568 16389 19424 21852 29136 32778 43704 58272 65556 87408 131112 174816 262224 524448 24645221 49290442 73935663 98580884 147871326 197161768 221806989 295742652 394323536 443613978 591485304 665420967 788647072 887227956 1182970608 1330841934 1774455912 2365941216 2661683868 3548911824 5323367736 7097823648 10646735472 14959649147 21293470944 29919298294 44878947441 59838596588 89757894882 119677193176 134636842323 179515789764 239354386352 269273684646 359031579528 403910526969 478708772704 538547369292 718063159056 807821053938 1077094738584 1436126318112 1615642107876 2154189477168 3231284215752 4308378954336 6462568431504 12925136863008