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4761329114640 = 2435725667110419
BaseRepresentation
bin100010101001001010101…
…0101001001111000010000
3121212011211012201220221110
41011102111111021320100
51111002200223132030
614043154023053320
71000665113465130
oct105222525117020
917764735656843
104761329114640
1115762a518087a
1264a93b5a1240
13286cb7182807
14126641836ac0
1583cbe3071b0
hex45495549e10

4761329114640 has 160 divisors (see below), whose sum is σ = 16869518853120. Its totient is φ = 1088251540992.

The previous prime is 4761329114627. The next prime is 4761329114651. The reversal of 4761329114640 is 464119231674.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4761329114640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43065351 + ... + 43175769.

It is an arithmetic number, because the mean of its divisors is an integer number (105434492832).

Almost surely, 24761329114640 is an apocalyptic number.

4761329114640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4761329114640 is an abundant number, since it is smaller than the sum of its proper divisors (12108189738480).

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

4761329114640 is a wasteful number, since it uses less digits than its factorization.

4761329114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136109 (or 136103 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 4761329114640 in words is "four trillion, seven hundred sixty-one billion, three hundred twenty-nine million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 25667 51334 77001 102668 110419 128335 154002 179669 205336 220838 256670 308004 331257 359338 385005 410672 441676 513340 539007 552095 616008 662514 718676 770010 772933 883352 898345 1026680 1078014 1104190 1232016 1325028 1437352 1540020 1545866 1656285 1766704 1796690 2053360 2156028 2208380 2318799 2650056 2695035 2874704 3080040 3091732 3312570 3593380 3864665 4312056 4416760 4637598 5300112 5390070 6160080 6183464 6625140 7186760 7729330 8624112 8833520 9275196 10780140 11593995 12366928 13250280 14373520 15458660 18550392 21560280 23187990 26500560 30917320 37100784 43120560 46375980 61834640 92751960 185503920 2834124473 5668248946 8502373419 11336497892 14170622365 17004746838 19838871311 22672995784 28341244730 34009493676 39677742622 42511867095 45345991568 56682489460 59516613933 68018987352 79355485244 85023734190 99194356555 113364978920 119033227866 136037974704 158710970488 170047468380 198388713110 226729957840 238066455732 297583069665 317421940976 340094936760 396777426220 476132911464 595166139330 680189873520 793554852440 952265822928 1190332278660 1587109704880 2380664557320 4761329114640