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90142584614250 = 2353793329183973
BaseRepresentation
bin10100011111101111110100…
…101111000010110101101010
3102211011112202201012011102020
4110133233310233002311222
543303344003130124000
6515414533124445310
724662405164634520
oct2437576457026552
9384145681164366
1090142584614250
11267a428a003233
12a13a2a1249836
133b3b54219656c
141838cd26aa310
15a64c3743eba0
hex51fbf4bc2d6a

90142584614250 has 128 divisors (see below), whose sum is σ = 257142314257920. Its totient is φ = 20603686579200.

The previous prime is 90142584614237. The next prime is 90142584614261. The reversal of 90142584614250 is 5241648524109.

It is a junction number, because it is equal to n+sod(n) for n = 90142584614193 and 90142584614202.

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, 489885264 + ... + 490069236.

It is an arithmetic number, because the mean of its divisors is an integer number (2008924330140).

Almost surely, 290142584614250 is an apocalyptic number.

90142584614250 is an abundant number, since it is smaller than the sum of its proper divisors (166999729643670).

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

90142584614250 is a wasteful number, since it uses less digits than its factorization.

90142584614250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277329 (or 277319 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 90142584614250 in words is "ninety trillion, one hundred forty-two billion, five hundred eighty-four million, six hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 750 875 1050 1750 2625 5250 93329 183973 186658 279987 367946 466645 551919 559974 653303 919865 933290 1103838 1287811 1306606 1399935 1839730 1959909 2333225 2575622 2759595 2799870 3266515 3863433 3919818 4599325 4666450 5519190 6439055 6533030 6999675 7726866 9198650 9799545 11666125 12878110 13797975 13999350 16332575 19317165 19599090 22996625 23332250 27595950 32195275 32665150 34998375 38634330 45993250 48997725 64390550 68989875 69996750 81662875 96585825 97995450 137979750 160976375 163325750 193171650 244988625 321952750 482929125 489977250 965858250 17170016117 34340032234 51510048351 85850080585 103020096702 120190112819 171700161170 240380225638 257550241755 360570338457 429250402925 515100483510 600950564095 721140676914 858500805850 1201901128190 1287751208775 1802851692285 2146252014625 2575502417550 3004752820475 3605703384570 4292504029250 6009505640950 6438756043875 9014258461425 12877512087750 15023764102375 18028516922850 30047528204750 45071292307125 90142584614250