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8678641264 = 243771206477
BaseRepresentation
bin10000001010100100…
…11000111001110000
3211101211101122200221
420011102120321300
5120233213010024
63553101222424
7425031143056
oct100522307160
924354348627
108678641264
1137539596a7
121822561a14
13a840147b7
145c48821d6
1535bd9e3e4
hex205498e70

8678641264 has 40 divisors (see below), whose sum is σ = 17512638048. Its totient is φ = 4162556160.

The previous prime is 8678641261. The next prime is 8678641273. The reversal of 8678641264 is 4621468768.

It is a super-3 number, since 3×86786412643 (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8678641261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61207 + ... + 145270.

Almost surely, 28678641264 is an apocalyptic number.

It is an amenable number.

8678641264 is an abundant number, since it is smaller than the sum of its proper divisors (8833996784).

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

8678641264 is a wasteful number, since it uses less digits than its factorization.

8678641264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206593 (or 206587 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 52.

The square root of 8678641264 is about 93159.2253295400. The cubic root of 8678641264 is about 2055.0256439358.

The spelling of 8678641264 in words is "eight billion, six hundred seventy-eight million, six hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 37 71 74 142 148 284 296 568 592 1136 2627 5254 10508 21016 42032 206477 412954 825908 1651816 3303632 7639649 14659867 15279298 29319734 30558596 58639468 61117192 117278936 122234384 234557872 542415079 1084830158 2169660316 4339320632 8678641264