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42518112480 = 25325171736851
BaseRepresentation
bin100111100110010001…
…101110100011100000
311001202011022220102200
4213212101232203200
51144034114044410
631311010413200
73033431664414
oct474621564340
9131664286380
1042518112480
1117039403238
1282a7291200
134017983c4c
1420b4bb4d44
15118cade3c0
hex9e646e8e0

42518112480 has 144 divisors (see below), whose sum is σ = 153628033104. Its totient is φ = 10671206400.

The previous prime is 42518112479. The next prime is 42518112487. The reversal of 42518112480 is 8421181524.

42518112480 is a `hidden beast` number, since 42 + 51 + 81 + 12 + 480 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42518112487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 843946 + ... + 892905.

It is an arithmetic number, because the mean of its divisors is an integer number (1066861341).

Almost surely, 242518112480 is an apocalyptic number.

42518112480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42518112480 is an abundant number, since it is smaller than the sum of its proper divisors (111109920624).

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

42518112480 is a wasteful number, since it uses less digits than its factorization.

42518112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736889 (or 1736878 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 42518112480 in words is "forty-two billion, five hundred eighteen million, one hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 1736851 3473702 5210553 6947404 8684255 10421106 13894808 15631659 17368510 20842212 26052765 27789616 29526467 31263318 34737020 41684424 52105530 55579232 59052934 62526636 69474040 78158295 83368848 88579401 104211060 118105868 125053272 138948080 147632335 156316590 166737696 177158802 208422120 236211736 250106544 265738203 277896160 295264670 312633180 354317604 416844240 442897005 472423472 500213088 531476406 590529340 625266360 708635208 833688480 885794010 944846944 1062952812 1181058680 1250532720 1328691015 1417270416 1771588020 2125905624 2362117360 2501065440 2657382030 2834540832 3543176040 4251811248 4724234720 5314764060 7086352080 8503622496 10629528120 14172704160 21259056240 42518112480