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25253099424 = 2532721924957
BaseRepresentation
bin10111100001001100…
…111011011110100000
32102011221011100221200
4113201030323132200
5403204243140144
615333501321200
71552536542400
oct274114733640
972157140850
1025253099424
11a789797403
124a89266200
1324c5ac28a7
141317c2c800
159cc019c69
hex5e133b7a0

25253099424 has 324 divisors, whose sum is σ = 88184093634. Its totient is φ = 6834046464.

The previous prime is 25253099423. The next prime is 25253099449. The reversal of 25253099424 is 42499035252.

25253099424 is a `hidden beast` number, since 2 + 5 + 2 + 530 + 9 + 94 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17547771024 + 7705328400 = 132468^2 + 87780^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25253099424.

It is not an unprimeable number, because it can be changed into a prime (25253099423) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5091954 + ... + 5096910.

Almost surely, 225253099424 is an apocalyptic number.

25253099424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25253099424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44092046817).

25253099424 is an abundant number, since it is smaller than the sum of its proper divisors (62930994210).

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

25253099424 is a wasteful number, since it uses less digits than its factorization.

25253099424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 25253099424 in words is "twenty-five billion, two hundred fifty-three million, ninety-nine thousand, four hundred twenty-four".