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23964588025 = 527244232
BaseRepresentation
bin10110010100011001…
…101001011111111001
32021212010121012121021
4112110121221133321
5343034413304100
615001552142441
71505602431400
oct262431513771
967763535537
1023964588025
11a188426754
124789837a21
13234bb7ac01
141234a5c637
15953d48a1a
hex5946697f9

23964588025 has 27 divisors (see below), whose sum is σ = 34575512751. Its totient is φ = 16429145040.

The previous prime is 23964588013. The next prime is 23964588041. The reversal of 23964588025 is 52088546932.

The square root of 23964588025 is 154805.

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., 8627251689 + 15337336336 = 92883^2 + 123844^2 .

It is not a de Polignac number, because 23964588025 - 29 = 23964587513 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, 5415964 + ... + 5420386.

Almost surely, 223964588025 is an apocalyptic number.

23964588025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23964588025 is the 154805-th square number.

23964588025 is the 77403-rd centered octagonal number.

It is an amenable number.

23964588025 is a deficient number, since it is larger than the sum of its proper divisors (10610924726).

23964588025 is an frugal number, since it uses more digits than its factorization.

23964588025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8870 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 23964588025 in words is "twenty-three billion, nine hundred sixty-four million, five hundred eighty-eight thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 4423 22115 30961 110575 154805 216727 774025 1083635 5418175 19562929 97814645 136940503 489073225 684702515 958583521 3423512575 4792917605 23964588025