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25540010334 = 23261153115193
BaseRepresentation
bin10111110010010011…
…011010000101011110
32102220221000221201200
4113302103122011132
5404301220312314
615422151020330
71562622335346
oct276223320536
972827027650
1025540010334
11a916740863
124b4936a6a6
132540389a67
141343d95d26
159e72e0709
hex5f24da15e

25540010334 has 48 divisors (see below), whose sum is σ = 56284288944. Its totient is φ = 8367753600.

The previous prime is 25540010303. The next prime is 25540010339. The reversal of 25540010334 is 43301004552.

25540010334 is a `hidden beast` number, since 2 + 554 + 0 + 0 + 103 + 3 + 4 = 666.

25540010334 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 25540010298 and 25540010307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25540010339) 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 23 ways as a sum of consecutive naturals, for example, 1673442 + ... + 1688634.

It is an arithmetic number, because the mean of its divisors is an integer number (1172589353).

Almost surely, 225540010334 is an apocalyptic number.

25540010334 is an abundant number, since it is smaller than the sum of its proper divisors (30744278610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25540010334 is a wasteful number, since it uses less digits than its factorization.

25540010334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16793 (or 16790 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 25540010334 its reverse (43301004552), we get a palindrome (68841014886).

The spelling of 25540010334 in words is "twenty-five billion, five hundred forty million, ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 1531 3062 4593 9186 13779 15193 27558 30386 45579 91158 93391 136737 186782 273474 280173 560346 840519 926773 1681038 1853546 2780319 5560638 8340957 16681914 23260483 46520966 69781449 139562898 209344347 418688694 1418889463 2837778926 4256668389 8513336778 12770005167 25540010334