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25300228608 = 293371149173
BaseRepresentation
bin10111100100000000…
…101101101000000000
32102022012211210001000
4113210000231220000
5403303324303413
615342303412000
71553651252304
oct274400555000
972265753030
1025300228608
11a803357246
124aa0bb4000
1325027b4395
1413201b9d04
159d1229073
hex5e402da00

25300228608 has 320 divisors, whose sum is σ = 76896864000. Its totient is φ = 8211087360.

The previous prime is 25300228589. The next prime is 25300228609. The reversal of 25300228608 is 80682200352.

25300228608 is a `hidden beast` number, since 25 + 3 + 0 + 0 + 2 + 28 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25300228609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146244010 + ... + 146244182.

It is an arithmetic number, because the mean of its divisors is an integer number (240302700).

Almost surely, 225300228608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25300228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38448432000).

25300228608 is an abundant number, since it is smaller than the sum of its proper divisors (51596635392).

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

25300228608 is a wasteful number, since it uses less digits than its factorization.

25300228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25300228608 in words is "twenty-five billion, three hundred million, two hundred twenty-eight thousand, six hundred eight".