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286138331352 = 23342511759249
BaseRepresentation
bin1000010100111110010…
…11000111000011011000
31000100120110202022010000
410022133023013003120
514142002403100402
6335241121253000
726446526454246
oct4123713070330
91010513668100
10286138331352
111003946a04a5
1247557194160
1320ca1094703
14dbc6197796
15769a7a2c1c
hex429f2c70d8

286138331352 has 80 divisors (see below), whose sum is σ = 804645765000. Its totient is φ = 94999392000.

The previous prime is 286138331309. The next prime is 286138331407. The reversal of 286138331352 is 253133831682.

286138331352 is a `hidden beast` number, since 28 + 613 + 8 + 3 + 3 + 1 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×2861383313522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 286138331298 and 286138331307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 716977 + ... + 1042272.

Almost surely, 2286138331352 is an apocalyptic number.

It is an amenable number.

286138331352 is an abundant number, since it is smaller than the sum of its proper divisors (518507433648).

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

286138331352 is a wasteful number, since it uses less digits than its factorization.

286138331352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759518 (or 1759505 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 286138331352 in words is "two hundred eighty-six billion, one hundred thirty-eight million, three hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 251 324 502 648 753 1004 1506 2008 2259 3012 4518 6024 6777 9036 13554 18072 20331 27108 40662 54216 81324 162648 1759249 3518498 5277747 7036996 10555494 14073992 15833241 21110988 31666482 42221976 47499723 63332964 94999446 126665928 142499169 189998892 284998338 379997784 441571499 569996676 883142998 1139993352 1324714497 1766285996 2649428994 3532571992 3974143491 5298857988 7948286982 10597715976 11922430473 15896573964 23844860946 31793147928 35767291419 47689721892 71534582838 95379443784 143069165676 286138331352