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30264517089 = 3210325632
BaseRepresentation
bin11100001011111001…
…111110000111100001
32220010012000202121100
4130023321332013201
5443440204021324
621523041345013
72120661102462
oct341371760741
986105022540
1030264517089
11119205926a4
125a47638169
132b1411b3a1
141671622d69
15bc1e794c9
hex70be7e1e1

30264517089 has 27 divisors (see below), whose sum is σ = 44222503377. Its totient is φ = 19944968616.

The previous prime is 30264517067. The next prime is 30264517093. The reversal of 30264517089 is 98071546203.

The square root of 30264517089 is 173967.

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

30264517089 is a `hidden beast` number, since 30 + 26 + 4 + 517 + 0 + 89 = 666.

It is not a de Polignac number, because 30264517089 - 25 = 30264517057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30264517039) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53755522 + ... + 53756084.

It is a 2-persistent number, because it is pandigital, and so is 2⋅30264517089 = 60529034178, but 3⋅30264517089 = 90793551267 is not.

Almost surely, 230264517089 is an apocalyptic number.

30264517089 is the 173967-th square number.

30264517089 is the 86984-th centered octagonal number.

It is an amenable number.

30264517089 is a deficient number, since it is larger than the sum of its proper divisors (13957986288).

30264517089 is an frugal number, since it uses more digits than its factorization.

30264517089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30264517089 in words is "thirty billion, two hundred sixty-four million, five hundred seventeen thousand, eighty-nine".

Divisors: 1 3 9 103 309 563 927 1689 5067 10609 31827 57989 95481 173967 316969 521901 950907 2852721 5972867 17918601 32647807 53755803 97943421 293830263 3362724121 10088172363 30264517089