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109597413025 = 527329072
BaseRepresentation
bin110011000010010000…
…0111100111010100001
3101110220000212102212101
41212010200330322201
53243423414204100
6122203124530401
710626632432332
oct1460440747241
9343800772771
10109597413025
1142530978601
12192a7b50a01
13a447c90c69
145439948289
152cb6ac286a
hex198483cea1

109597413025 has 27 divisors (see below), whose sum is σ = 137940032601. Its totient is φ = 86381519040.

The previous prime is 109597413017. The next prime is 109597413047. The reversal of 109597413025 is 520314795901.

The square root of 109597413025 is 331055.

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 599711121 + 108997701904 = 24489^2 + 330148^2 .

It is not a de Polignac number, because 109597413025 - 23 = 109597413017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120834622 + ... + 120835528.

Almost surely, 2109597413025 is an apocalyptic number.

109597413025 is the 331055-th square number.

109597413025 is the 165528-th centered octagonal number.

It is an amenable number.

109597413025 is a deficient number, since it is larger than the sum of its proper divisors (28342619576).

109597413025 is an frugal number, since it uses more digits than its factorization.

109597413025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 109597413025 in words is "one hundred nine billion, five hundred ninety-seven million, four hundred thirteen thousand, twenty-five".

Divisors: 1 5 25 73 365 907 1825 4535 5329 22675 26645 66211 133225 331055 822649 1655275 4113245 4833403 20566225 24167015 60053377 120835075 300266885 1501334425 4383896521 21919482605 109597413025