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23282792569 = 53228792
BaseRepresentation
bin10101101011110000…
…110011100001111001
32020002121200102001201
4111223300303201321
5340140343330234
614410155014201
71452653320501
oct255360634171
966077612051
1023282792569
119968590733
12461943a361
13227084394a
1411ac2a2a01
15914070314
hex56bc33879

23282792569 has 9 divisors (see below), whose sum is σ = 23738624623. Its totient is φ = 22835560072.

The previous prime is 23282792563. The next prime is 23282792587. The reversal of 23282792569 is 96529728232.

The square root of 23282792569 is 152587.

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., 16784498025 + 6498294544 = 129555^2 + 80612^2 .

It is not a de Polignac number, because 23282792569 - 25 = 23282792537 is a prime.

It is a super-2 number, since 2×232827925692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23282792563) 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 8 ways as a sum of consecutive naturals, for example, 8085672 + ... + 8088550.

Almost surely, 223282792569 is an apocalyptic number.

23282792569 is the 152587-th square number.

23282792569 is the 76294-th centered octagonal number.

It is an amenable number.

23282792569 is a deficient number, since it is larger than the sum of its proper divisors (455832054).

23282792569 is an frugal number, since it uses more digits than its factorization.

23282792569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 2932 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 23282792569 in words is "twenty-three billion, two hundred eighty-two million, seven hundred ninety-two thousand, five hundred sixty-nine".

Divisors: 1 53 2809 2879 152587 8087111 8288641 439297973 23282792569