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1640311866 = 232313498423
BaseRepresentation
bin110000111000101…
…0010110000111010
311020022112110212100
41201301102300322
511324404434431
6430433324230
755435264224
oct14161226072
94208473770
101640311866
11771a05646
12399406676
13201aab54b
14117bc9414
15990134e6
hex61c52c3a

1640311866 has 48 divisors (see below), whose sum is σ = 3679603200. Its totient is φ = 527554080.

The previous prime is 1640311853. The next prime is 1640311873. The reversal of 1640311866 is 6681130461.

1640311866 is a `hidden beast` number, since 1 + 640 + 3 + 1 + 1 + 8 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1640311866.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190531 + ... + 198953.

It is an arithmetic number, because the mean of its divisors is an integer number (76658400).

Almost surely, 21640311866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640311866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839801600).

1640311866 is an abundant number, since it is smaller than the sum of its proper divisors (2039291334).

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

1640311866 is a wasteful number, since it uses less digits than its factorization.

1640311866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1640311866 is about 40500.7637705760. The cubic root of 1640311866 is about 1179.3484543486.

The spelling of 1640311866 in words is "one billion, six hundred forty million, three hundred eleven thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 349 558 698 1047 2094 3141 6282 8423 10819 16846 21638 25269 32457 50538 64914 75807 97371 151614 194742 261113 522226 783339 1566678 2350017 2939627 4700034 5879254 8818881 17637762 26456643 52913286 91128437 182256874 273385311 546770622 820155933 1640311866