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18983603961 = 31872
BaseRepresentation
bin10001101011100000…
…101100111011111001
31211000000000000000000
4101223200230323321
5302334300311321
612415420303213
71241300654100
oct215340547371
954000000000
1018983603961
1180618276a3
1238196a1b09
131a36c4986a
14cc130b037
157618eb826
hex46b82cef9

18983603961 has 57 divisors (see below), whose sum is σ = 33124451781. Its totient is φ = 10847773692.

The previous prime is 18983603959. The next prime is 18983603993. The reversal of 18983603961 is 16930638981.

The square root of 18983603961 is 137781.

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

It is not a de Polignac number, because 18983603961 - 21 = 18983603959 is a prime.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 18983603898 and 18983603907.

It is not an unprimeable number, because it can be changed into a prime (18983603161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 56 ways as a sum of consecutive naturals, for example, 2711943420 + ... + 2711943426.

It is an arithmetic number, because the mean of its divisors is an integer number (581130733).

Almost surely, 218983603961 is an apocalyptic number.

18983603961 is the 137781-st square number.

18983603961 is the 68891-st centered octagonal number.

It is an amenable number.

18983603961 is a deficient number, since it is larger than the sum of its proper divisors (14140847820).

18983603961 is an frugal number, since it uses more digits than its factorization.

18983603961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 18983603961 in words is "eighteen billion, nine hundred eighty-three million, six hundred three thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 2187 3969 5103 6561 11907 15309 19683 35721 45927 59049 107163 137781 177147 321489 413343 531441 964467 1240029 1594323 2893401 3720087 4782969 8680203 11160261 14348907 26040609 33480783 43046721 78121827 100442349 129140163 234365481 301327047 387420489 703096443 903981141 2109289329 2711943423 6327867987 18983603961