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12898632061728 = 2532737172922459
BaseRepresentation
bin1011101110110011001001…
…1000011101001100100000
31200200002121211211201111100
42323230302120131030200
53142312344301433403
643233314425514400
72500616061343560
oct273546230351440
950602554751440
1012898632061728
1141233085943a6
121543a11942a00
1372744994475a
1432842343ada0
151757ca2dc2a3
hexbbb3261d320

12898632061728 has 144 divisors (see below), whose sum is σ = 43053542400960. Its totient is φ = 3585720089088.

The previous prime is 12898632061717. The next prime is 12898632061807. The reversal of 12898632061728 is 82716023689821.

12898632061728 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 8 + 6 + 3 + 2 + 0 + 617 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86386638 + ... + 86535821.

It is an arithmetic number, because the mean of its divisors is an integer number (298982933340).

Almost surely, 212898632061728 is an apocalyptic number.

12898632061728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12898632061728 is an abundant number, since it is smaller than the sum of its proper divisors (30154910339232).

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

12898632061728 is a wasteful number, since it uses less digits than its factorization.

12898632061728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172922519 (or 172922508 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 12898632061728 in words is "twelve trillion, eight hundred ninety-eight billion, six hundred thirty-two million, sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 777 888 1008 1036 1184 1332 1554 1776 2016 2072 2331 2664 3108 3552 4144 4662 5328 6216 8288 9324 10656 12432 18648 24864 37296 74592 172922459 345844918 518767377 691689836 1037534754 1210457213 1383379672 1556302131 2075069508 2420914426 2766759344 3112604262 3631371639 4150139016 4841828852 5533518688 6225208524 6398130983 7262743278 8300278032 9683657704 10894114917 12450417048 12796261966 14525486556 16600556064 19194392949 19367315408 21788229834 24900834096 25592523932 29050973112 38388785898 38734630816 43576459668 44786916881 49801668192 51185047864 57583178847 58101946224 76777571796 87152919336 89573833762 102370095728 115166357694 116203892448 134360750643 153555143592 174305838672 179147667524 204740191456 230332715388 268721501286 307110287184 348611677344 358295335048 403082251929 460665430776 537443002572 614220574368 716590670096 806164503858 921330861552 1074886005144 1433181340192 1612329007716 1842661723104 2149772010288 3224658015432 4299544020576 6449316030864 12898632061728