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46125465005334 = 231113292637048549
BaseRepresentation
bin10100111110011011010111…
…11101001110110100010110
320001022112212222000012200010
422133031223331032310112
522021204423020132314
6242033425053501050
712500312010361401
oct1237155375166426
9201275788005603
1046125465005334
1113773777563a80
12520b510aa1786
131c977c70c2090
14b566ad358d38
1554ec68816059
hex29f36bf4ed16

46125465005334 has 128 divisors (see below), whose sum is σ = 112542224256000. Its totient is φ = 12409955550720.

The previous prime is 46125465005311. The next prime is 46125465005351. The reversal of 46125465005334 is 43350056452164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3019692 + ... + 10068240.

It is an arithmetic number, because the mean of its divisors is an integer number (879236127000).

Almost surely, 246125465005334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46125465005334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56271112128000).

46125465005334 is an abundant number, since it is smaller than the sum of its proper divisors (66416759250666).

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

46125465005334 is a wasteful number, since it uses less digits than its factorization.

46125465005334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048870.

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 46125465005334 in words is "forty-six trillion, one hundred twenty-five billion, four hundred sixty-five million, five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 263 286 319 377 429 526 638 754 789 858 957 1131 1578 1914 2262 2893 3419 4147 5786 6838 7627 8294 8679 10257 12441 15254 17358 20514 22881 24882 37609 45762 75218 83897 99151 112827 167794 198302 225654 251691 297453 503382 594906 1090661 2181322 3271983 6543966 7048549 14097098 21145647 42291294 77534039 91631137 155068078 183262274 204407921 232602117 274893411 408815842 465204234 549786822 613223763 1007942507 1226447526 1853768387 2015885014 2248487131 2657302973 3023827521 3707536774 4496974262 5314605946 5561305161 6047655042 6745461393 7971908919 11122610322 13490922786 15943817838 20391452257 24098989031 29230332703 40782904514 48197978062 53759283223 58460665406 61174356771 72296967093 87690998109 107518566446 122348713542 144593934186 161277849669 175381996218 265088879341 322555699338 530177758682 591352115453 698870681899 795266638023 1182704230906 1397741363798 1590533276046 1774056346359 2096612045697 3548112692718 4193224091394 7687577500889 15375155001778 23062732502667 46125465005334