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18077609209 = 1121727192
BaseRepresentation
bin10000110101100000…
…100110110011111001
31201122212012200211211
4100311200212303321
5244010331443314
612145453523121
71206660100012
oct206540466371
951585180754
1018077609209
117737380400
1236061a34a1
1319213346aa
14c36c70009
1570c0d89c4
hex435826cf9

18077609209 has 27 divisors (see below), whose sum is σ = 21137432911. Its totient is φ = 15445960640.

The previous prime is 18077609191. The next prime is 18077609213. The reversal of 18077609209 is 90290677081.

It is a happy number.

The square root of 18077609209 is 134453.

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., 14074263225 + 4003345984 = 118635^2 + 63272^2 .

It is not a de Polignac number, because 18077609209 - 211 = 18077607161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18077609009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25142352 + ... + 25143070.

Almost surely, 218077609209 is an apocalyptic number.

18077609209 is the 134453-rd square number.

18077609209 is the 67227-th centered octagonal number.

It is an amenable number.

18077609209 is a deficient number, since it is larger than the sum of its proper divisors (3059823702).

18077609209 is an frugal number, since it uses more digits than its factorization.

18077609209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

Multiplying 18077609209 by its sum of digits (49), we get a square (885802851241 = 9411712).

The spelling of 18077609209 in words is "eighteen billion, seventy-seven million, six hundred nine thousand, two hundred nine".

Divisors: 1 11 17 121 187 289 719 2057 3179 7909 12223 34969 86999 134453 207791 516961 1478983 2285701 5686571 8788337 25142711 62552281 96671707 149401729 1063388777 1643419019 18077609209