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83056547762442 = 23311733113108933
BaseRepresentation
bin10010111000101000011100…
…000001101001000100001010
3101220002010110121201021012000
4102320220130001221010022
541341244302211344232
6452351352402531430
723331431452330542
oct2270503401510412
9356063417637160
1083056547762442
11245120a1a28791
129394ab9966b76
133746277b36787
141671d5ba56322
159907587aa27c
hex4b8a1c06910a

83056547762442 has 32 divisors (see below), whose sum is σ = 184571693290560. Its totient is φ = 27685277848080.

The previous prime is 83056547762437. The next prime is 83056547762449. The reversal of 83056547762442 is 24426774565038.

83056547762442 is a `hidden beast` number, since 8 + 3 + 0 + 5 + 65 + 4 + 77 + 62 + 442 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 83056547762442.

It is not an unprimeable number, because it can be changed into a prime (83056547762449) 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 15 ways as a sum of consecutive naturals, for example, 218593 + ... + 12890340.

It is an arithmetic number, because the mean of its divisors is an integer number (5767865415330).

Almost surely, 283056547762442 is an apocalyptic number.

83056547762442 is an abundant number, since it is smaller than the sum of its proper divisors (101515145528118).

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

83056547762442 is a wasteful number, since it uses less digits than its factorization.

83056547762442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13226275 (or 13226269 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 83056547762442 in words is "eighty-three trillion, fifty-six billion, five hundred forty-seven million, seven hundred sixty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 117331 234662 351993 703986 1055979 2111958 3167937 6335874 13108933 26217866 39326799 78653598 117980397 235960794 353941191 707882382 1538084217823 3076168435646 4614252653469 9228505306938 13842757960407 27685515920814 41528273881221 83056547762442