Search a number
-
+
84412684039152 = 24371229994120563
BaseRepresentation
bin10011001100010111011100…
…000010111111001111110000
3102001212202220002101001012210
4103030113130002333033300
542031004134103223102
6455310352433452120
723531421000435450
oct2314273402771760
9361782802331183
1084412684039152
1124995244562497
1295738b1111040
13381410b0720a1
1416bb84a895d60
159b5b7ab2b36c
hex4cc5dc0bf3f0

84412684039152 has 160 divisors (see below), whose sum is σ = 249458402926080. Its totient is φ = 24094689776640.

The previous prime is 84412684039139. The next prime is 84412684039181. The reversal of 84412684039152 is 25193048621448.

It is a junction number, because it is equal to n+sod(n) for n = 84412684039092 and 84412684039101.

It is a congruent number.

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, 4105066023 + ... + 4105086585.

It is an arithmetic number, because the mean of its divisors is an integer number (1559115018288).

Almost surely, 284412684039152 is an apocalyptic number.

It is an amenable number.

84412684039152 is an abundant number, since it is smaller than the sum of its proper divisors (165045718886928).

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

84412684039152 is a wasteful number, since it uses less digits than its factorization.

84412684039152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31751 (or 31745 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 84412684039152 in words is "eighty-four trillion, four hundred twelve billion, six hundred eighty-four million, thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1229 2458 3687 4916 7374 8603 9832 9941 14748 17206 19664 19882 20563 25809 29496 29823 34412 39764 41126 51618 58992 59646 61689 68824 69587 79528 82252 103236 119292 123378 137648 139174 143941 159056 164504 206472 208761 238584 246756 278348 287882 329008 412944 417522 431823 477168 493512 556696 575764 835044 863646 987024 1113392 1151528 1670088 1727292 2303056 3340176 3454584 6909168 12217489 24434978 25271927 36652467 48869956 50543854 73304934 75815781 85522423 97739912 101087708 146609868 151631562 171044846 176903489 195479824 202175416 204416783 256567269 293219736 303263124 342089692 353806978 404350832 408833566 513134538 530710467 586439472 606526248 613250349 684179384 707613956 817667132 1026269076 1061420934 1213052496 1226500698 1368358768 1415227912 1430917481 1635334264 2052538152 2122841868 2453001396 2830455824 2861834962 3270668528 4105076304 4245683736 4292752443 4906002792 5723669924 8491367472 8585504886 9812005584 11447339848 17171009772 22894679696 34342019544 68684039088 251228226307 502456452614 753684678921 1004912905228 1507369357842 1758597584149 2009825810456 3014738715684 3517195168298 4019651620912 5275792752447 6029477431368 7034390336596 10551585504894 12058954862736 14068780673192 21103171009788 28137561346384 42206342019576 84412684039152