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18368380900 = 2252135532
BaseRepresentation
bin10001000110110101…
…110011111111100100
31202102010100102121201
4101012311303333210
5300104301142100
612234402052244
71220120442622
oct210665637744
952363312551
1018368380900
117876521491
12368764a084
131969650c4c
14c63720512
157278c336a
hex446d73fe4

18368380900 has 27 divisors (see below), whose sum is σ = 39862327771. Its totient is φ = 7346810240.

The previous prime is 18368380879. The next prime is 18368380903. The reversal of 18368380900 is 908386381.

The square root of 18368380900 is 135530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 453093796 + 17915287104 = 21286^2 + 133848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18368380903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1348524 + ... + 1362076.

Almost surely, 218368380900 is an apocalyptic number.

18368380900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18368380900 is the 135530-th square number.

It is an amenable number.

18368380900 is an abundant number, since it is smaller than the sum of its proper divisors (21493946871).

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

18368380900 is an frugal number, since it uses more digits than its factorization.

18368380900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27120 (or 13560 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 18368380900 in words is "eighteen billion, three hundred sixty-eight million, three hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13553 27106 54212 67765 135530 271060 338825 677650 1355300 183683809 367367618 734735236 918419045 1836838090 3673676180 4592095225 9184190450 18368380900