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2432960442025 = 52157219872
BaseRepresentation
bin100011011001110111101…
…111100010111010101001
322121120220012022011022221
4203121313233202322221
5304330200333121100
65101404145514041
7340530012353161
oct43316757427251
98546805264287
102432960442025
118588a3819113
12333635642921
131485726ab739
1485a823275a1
154344837d01a
hex23677be2ea9

2432960442025 has 27 divisors (see below), whose sum is σ = 3037737885669. Its totient is φ = 1932997790880.

The previous prime is 2432960442007. The next prime is 2432960442127. The reversal of 2432960442025 is 5202440692342.

The square root of 2432960442025 is 1559795.

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 294253087401 + 2138707354624 = 542451^2 + 1462432^2 .

It is not a de Polignac number, because 2432960442025 - 211 = 2432960439977 is a prime.

It is a super-2 number, since 2×24329604420252 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 1224438082 + ... + 1224440068.

Almost surely, 22432960442025 is an apocalyptic number.

2432960442025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2432960442025 is the 1559795-th square number.

2432960442025 is the 779898-th centered octagonal number.

It is an amenable number.

2432960442025 is a deficient number, since it is larger than the sum of its proper divisors (604777443644).

2432960442025 is an frugal number, since it uses more digits than its factorization.

2432960442025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 2432960442025 in words is "two trillion, four hundred thirty-two billion, nine hundred sixty million, four hundred forty-two thousand, twenty-five".

Divisors: 1 5 25 157 785 1987 3925 9935 24649 49675 123245 311959 616225 1559795 3948169 7798975 19740845 48977563 98704225 244887815 619862533 1224439075 3099312665 15496563325 97318417681 486592088405 2432960442025