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82713605814 = 23371871116953
BaseRepresentation
bin100110100001000011…
…1010111011010110110
321220111110020112101000
41031002013113122312
52323344140341224
6101555331344130
75655502022550
oct1150207273266
9256443215330
1082713605814
1132095746314
1214044752046
137a523a3428
1440093104d0
1522418400c9
hex13421d76b6

82713605814 has 64 divisors (see below), whose sum is σ = 210180372480. Its totient is φ = 23619625920.

The previous prime is 82713605809. The next prime is 82713605827. The reversal of 82713605814 is 41850631728.

82713605814 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 3 + 60 + 581 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82713605814.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648762 + ... + 765714.

It is an arithmetic number, because the mean of its divisors is an integer number (3284068320).

Almost surely, 282713605814 is an apocalyptic number.

82713605814 is an abundant number, since it is smaller than the sum of its proper divisors (127466766666).

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

82713605814 is a wasteful number, since it uses less digits than its factorization.

82713605814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118842 (or 118836 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 82713605814 in words is "eighty-two billion, seven hundred thirteen million, six hundred five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1871 3742 5613 11226 13097 16839 26194 33678 39291 50517 78582 101034 116953 117873 233906 235746 350859 353619 701718 707238 818671 1052577 1637342 2105154 2456013 3157731 4912026 6315462 7368039 14736078 22104117 44208234 218819063 437638126 656457189 1312914378 1531733441 1969371567 3063466882 3938743134 4595200323 5908114701 9190400646 11816229402 13785600969 27571201938 41356802907 82713605814