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86682400866 = 23245071068491
BaseRepresentation
bin101000010111010101…
…1000111100001100010
322021202001020012200100
41100232223013201202
52410011143311431
6103453224403230
76156033151605
oct1205653074142
9267661205610
1086682400866
1133841a56826
1214971916516
1382356ba579
1442a446033c
1523c4e9e4e6
hex142eac7862

86682400866 has 24 divisors (see below), whose sum is σ = 187853715504. Its totient is φ = 28887695640.

The previous prime is 86682400823. The next prime is 86682400873. The reversal of 86682400866 is 66800428668.

It is a happy number.

86682400866 is a `hidden beast` number, since 86 + 6 + 82 + 400 + 86 + 6 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 453120 + ... + 615371.

It is an arithmetic number, because the mean of its divisors is an integer number (7827238146).

Almost surely, 286682400866 is an apocalyptic number.

86682400866 is an abundant number, since it is smaller than the sum of its proper divisors (101171314638).

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

86682400866 is a wasteful number, since it uses less digits than its factorization.

86682400866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073006 (or 1073003 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 86682400866 in words is "eighty-six billion, six hundred eighty-two million, four hundred thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 4507 9014 13521 27042 40563 81126 1068491 2136982 3205473 6410946 9616419 19232838 4815688937 9631377874 14447066811 28894133622 43341200433 86682400866