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23502423025 = 52306612
BaseRepresentation
bin10101111000110110…
…101000001111110001
32020122220221210102001
4111320312220033301
5341113110014100
614444042254001
71461261204514
oct257066501761
966586853361
1023502423025
119a70561304
12467aab7301
1322a71b20b3
1411cd514d7b
159284a5d6a
hex578da83f1

23502423025 has 9 divisors (see below), whose sum is σ = 29143955073. Its totient is φ = 18801325200.

The previous prime is 23502422953. The next prime is 23502423059. The reversal of 23502423025 is 52032420532.

It is a happy number.

The square root of 23502423025 is 153305.

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 6950056689 + 16552366336 = 83367^2 + 128656^2 .

It is not a de Polignac number, because 23502423025 - 221 = 23500325873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23502422984 and 23502423002.

It is an unprimeable number.

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, 751195 + ... + 781855.

Almost surely, 223502423025 is an apocalyptic number.

23502423025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23502423025 is the 153305-th square number.

23502423025 is the 76653-rd centered octagonal number.

It is an amenable number.

23502423025 is a deficient number, since it is larger than the sum of its proper divisors (5641532048).

23502423025 is an frugal number, since it uses more digits than its factorization.

23502423025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61332 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Multiplying 23502423025 by its product of nonzero digits (14400), we get a square (338434891560000 = 183966002).

Adding to 23502423025 its reverse (52032420532), we get a palindrome (75534843557).

The spelling of 23502423025 in words is "twenty-three billion, five hundred two million, four hundred twenty-three thousand, twenty-five".

Divisors: 1 5 25 30661 153305 766525 940096921 4700484605 23502423025