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25814235140 = 2251775924221
BaseRepresentation
bin11000000010101001…
…011111100000000100
32110122001001000102222
4120002221133200010
5410331421011030
615505304351512
71602462243521
oct300251374004
973561030388
1025814235140
11aa4750aa31
125005175598
132585131865
14136c57a148
15a1140c3e5
hex602a5f804

25814235140 has 24 divisors (see below), whose sum is σ = 57398711832. Its totient is φ = 9718300160.

The previous prime is 25814235137. The next prime is 25814235149. The reversal of 25814235140 is 4153241852.

It can be written as a sum of positive squares in 4 ways, for example, as 4581665344 + 21232569796 = 67688^2 + 145714^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25814235140.

It is not an unprimeable number, because it can be changed into a prime (25814235149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37961771 + ... + 37962450.

It is an arithmetic number, because the mean of its divisors is an integer number (2391612993).

Almost surely, 225814235140 is an apocalyptic number.

25814235140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25814235140 is an abundant number, since it is smaller than the sum of its proper divisors (31584476692).

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

25814235140 is a wasteful number, since it uses less digits than its factorization.

25814235140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75924247 (or 75924245 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 25814235140 its reverse (4153241852), we get a palindrome (29967476992).

The spelling of 25814235140 in words is "twenty-five billion, eight hundred fourteen million, two hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 75924221 151848442 303696884 379621105 759242210 1290711757 1518484420 2581423514 5162847028 6453558785 12907117570 25814235140