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663787680 = 25351382891
BaseRepresentation
bin100111100100001…
…001100010100000
31201021000220111220
4213210021202200
52324412201210
6145511135040
722310050023
oct4744114240
91637026456
10663787680
11310766566
12166374480
13a76a089a
146422d1ba
153d41cc70
hex279098a0

663787680 has 48 divisors (see below), whose sum is σ = 2090932704. Its totient is φ = 177009920.

The previous prime is 663787673. The next prime is 663787687. The reversal of 663787680 is 86787366.

It is an interprime number because it is at equal distance from previous prime (663787673) and next prime (663787687).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6637876802 = 881228168239564800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (663787687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 690966 + ... + 691925.

It is an arithmetic number, because the mean of its divisors is an integer number (43561098).

Almost surely, 2663787680 is an apocalyptic number.

663787680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

663787680 is an abundant number, since it is smaller than the sum of its proper divisors (1427145024).

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

663787680 is a wasteful number, since it uses less digits than its factorization.

663787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382909 (or 1382901 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 663787680 is about 25764.0773170708. The cubic root of 663787680 is about 872.3211369438.

The spelling of 663787680 in words is "six hundred sixty-three million, seven hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1382891 2765782 4148673 5531564 6914455 8297346 11063128 13828910 16594692 20743365 22126256 27657820 33189384 41486730 44252512 55315640 66378768 82973460 110631280 132757536 165946920 221262560 331893840 663787680