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668536836 = 2231147197547
BaseRepresentation
bin100111110110010…
…001000000000100
31201120222012010120
4213312101000010
52332121134321
6150201021540
722365316662
oct4766210004
91646865116
10668536836
1131340a690
12167a848b0
13a8674436
1464b07c32
153da59ec6
hex27d91004

668536836 has 96 divisors (see below), whose sum is σ = 1749952512. Its totient is φ = 196909440.

The previous prime is 668536801. The next prime is 668536853. The reversal of 668536836 is 638635866.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221915 + ... + 1222461.

It is an arithmetic number, because the mean of its divisors is an integer number (18228672).

Almost surely, 2668536836 is an apocalyptic number.

668536836 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668536836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874976256).

668536836 is an abundant number, since it is smaller than the sum of its proper divisors (1081415676).

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

668536836 is a wasteful number, since it uses less digits than its factorization.

668536836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 668536836 is about 25856.0792851507. The cubic root of 668536836 is about 874.3965737780.

The spelling of 668536836 in words is "six hundred sixty-eight million, five hundred thirty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 197 282 394 517 547 564 591 788 1034 1094 1182 1551 1641 2068 2167 2188 2364 3102 3282 4334 6017 6204 6501 6564 8668 9259 12034 13002 18051 18518 24068 25709 26004 27777 36102 37036 51418 55554 72204 77127 101849 102836 107759 111108 154254 203698 215518 282799 305547 308508 323277 407396 431036 565598 611094 646554 848397 1131196 1185349 1222188 1293108 1696794 2370698 3393588 3556047 4741396 5064673 7112094 10129346 14224188 15194019 20258692 30388038 55711403 60776076 111422806 167134209 222845612 334268418 668536836