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25303058640 = 243456164013
BaseRepresentation
bin10111100100001011…
…100000100011010000
32102022102011120010000
4113210023200203100
5403310040334030
615342444210000
71554014310156
oct274413404320
972272146100
1025303058640
11a804a0a512
124aa1b39900
132503265562
1413207153d6
159d15d7860
hex5e42e08d0

25303058640 has 200 divisors, whose sum is σ = 89323343208. Its totient is φ = 6636764160.

The previous prime is 25303058623. The next prime is 25303058647. The reversal of 25303058640 is 4685030352.

It is a happy number.

25303058640 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 3 + 0 + 5 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3919260816 + 21383797824 = 62604^2 + 146232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25303058595 and 25303058604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25303058647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 363274 + ... + 427286.

Almost surely, 225303058640 is an apocalyptic number.

25303058640 is a gapful number since it is divisible by the number (20) 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 25303058640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44661671604).

25303058640 is an abundant number, since it is smaller than the sum of its proper divisors (64020284568).

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

25303058640 is a wasteful number, since it uses less digits than its factorization.

25303058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64099 (or 64084 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 25303058640 its reverse (4685030352), we get a palindrome (29988088992).

The spelling of 25303058640 in words is "twenty-five billion, three hundred three million, fifty-eight thousand, six hundred forty".