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25456442401 = 132950166377
BaseRepresentation
bin10111101101010100…
…100111110000100001
32102201002210021002001
4113231110213300201
5404113322124101
615410003524001
71560556122145
oct275524476041
972632707061
1025456442401
11a883552a55
124b25389601
132528c7a690
141336c41225
159decd4901
hex5ed527c21

25456442401 has 8 divisors (see below), whose sum is σ = 27415972584. Its totient is φ = 23497104000.

The previous prime is 25456442393. The next prime is 25456442419. The reversal of 25456442401 is 10424465452.

It can be written as a sum of positive squares in 4 ways, for example, as 4319644176 + 21136798225 = 65724^2 + 145385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 25456442401 - 23 = 25456442393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25456442441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350325 + ... + 416701.

It is an arithmetic number, because the mean of its divisors is an integer number (3426996573).

Almost surely, 225456442401 is an apocalyptic number.

It is an amenable number.

25456442401 is a deficient number, since it is larger than the sum of its proper divisors (1959530183).

25456442401 is a wasteful number, since it uses less digits than its factorization.

25456442401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95891.

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 25456442401 in words is "twenty-five billion, four hundred fifty-six million, four hundred forty-two thousand, four hundred one".

Divisors: 1 13 29501 66377 383513 862901 1958187877 25456442401