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25346142241 = 721021506629
BaseRepresentation
bin10111100110101111…
…110111000000100001
32102102102020102200221
4113212233313000201
5403402103022431
615351023443041
71555046440300
oct274657670041
972372212627
1025346142241
11a8272668a2
124ab4456481
13250c16b804
14132632c437
159d5298111
hex5e6bf7021

25346142241 has 12 divisors (see below), whose sum is σ = 29513224020. Its totient is φ = 21703943520.

The previous prime is 25346142223. The next prime is 25346142257. The reversal of 25346142241 is 14224164352.

It can be written as a sum of positive squares in 2 ways, for example, as 19741374016 + 5604768225 = 140504^2 + 74865^2 .

It is not a de Polignac number, because 25346142241 - 29 = 25346141729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25346142197 and 25346142206.

It is not an unprimeable number, because it can be changed into a prime (25346145241) 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 11 ways as a sum of consecutive naturals, for example, 203286 + ... + 303343.

It is an arithmetic number, because the mean of its divisors is an integer number (2459435335).

Almost surely, 225346142241 is an apocalyptic number.

It is an amenable number.

25346142241 is a deficient number, since it is larger than the sum of its proper divisors (4167081779).

25346142241 is a wasteful number, since it uses less digits than its factorization.

25346142241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507664 (or 507657 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The spelling of 25346142241 in words is "twenty-five billion, three hundred forty-six million, one hundred forty-two thousand, two hundred forty-one".

Divisors: 1 7 49 1021 7147 50029 506629 3546403 24824821 517268209 3620877463 25346142241