Search a number
-
+
18877660816 = 24747012
BaseRepresentation
bin10001100101001100…
…100011111010010000
31210201121122112022211
4101211030203322100
5302130140121231
612401113441504
71235543320000
oct214514437220
953647575284
1018877660816
118007a46a83
1237aa110294
131a1b004c01
14cb1210000
15757470eb1
hex465323e90

18877660816 has 75 divisors (see below), whose sum is σ = 42729795593. Its totient is φ = 8078884800.

The previous prime is 18877660801. The next prime is 18877660853. The reversal of 18877660816 is 61806677881.

The square root of 18877660816 is 137396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16280739216 + 2596921600 = 127596^2 + 50960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 26929266 + ... + 26929966.

Almost surely, 218877660816 is an apocalyptic number.

18877660816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18877660816 is the 137396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18877660816

18877660816 is an abundant number, since it is smaller than the sum of its proper divisors (23852134777).

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

18877660816 is an frugal number, since it uses more digits than its factorization.

18877660816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The spelling of 18877660816 in words is "eighteen billion, eight hundred seventy-seven million, six hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 701 784 1372 1402 2401 2744 2804 4802 4907 5488 5608 9604 9814 11216 19208 19628 34349 38416 39256 68698 78512 137396 240443 274792 480886 491401 549584 961772 982802 1683101 1923544 1965604 3366202 3439807 3847088 3931208 6732404 6879614 7862416 13464808 13759228 24078649 26929616 27518456 48157298 55036912 96314596 168550543 192629192 337101086 385258384 674202172 1179853801 1348404344 2359707602 2696808688 4719415204 9438830408 18877660816