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663005889 = 327132361577
BaseRepresentation
bin100111100001001…
…010101011000001
31201012120012002200
4213201022223001
52324212142024
6145442303413
722300312530
oct4741125301
91635505080
10663005889
11310282157
12166057b69
13a7488aa0
14640a8317
153d3162c9
hex2784aac1

663005889 has 96 divisors (see below), whose sum is σ = 1252253184. Its totient is φ = 328458240.

The previous prime is 663005887. The next prime is 663005911. The reversal of 663005889 is 988500366.

663005889 is a `hidden beast` number, since 6 + 63 + 0 + 0 + 588 + 9 = 666.

It is not a de Polignac number, because 663005889 - 21 = 663005887 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (663005887) 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 95 ways as a sum of consecutive naturals, for example, 1148769 + ... + 1149345.

It is an arithmetic number, because the mean of its divisors is an integer number (13044304).

Almost surely, 2663005889 is an apocalyptic number.

663005889 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

663005889 is a deficient number, since it is larger than the sum of its proper divisors (589247295).

663005889 is a wasteful number, since it uses less digits than its factorization.

663005889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 663005889 is about 25748.9007338177. The cubic root of 663005889 is about 871.9785370703.

The spelling of 663005889 in words is "six hundred sixty-three million, five thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 13 21 23 39 61 63 69 91 117 161 183 207 273 299 427 483 549 577 793 819 897 1281 1403 1449 1731 2093 2379 2691 3843 4039 4209 5193 5551 6279 7137 7501 9821 12117 12627 13271 16653 18239 18837 22503 29463 35197 36351 39813 49959 52507 54717 67509 88389 92897 105591 119439 127673 157521 164151 172523 246379 278691 316773 383019 457561 472563 517569 739137 809531 836073 1149057 1207661 1372683 1552707 2217411 2428593 3202927 3622983 4118049 5666717 7285779 9608781 10523903 10868949 17000151 28826343 31571709 51000453 73667321 94715127 221001963 663005889