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25460806896 = 2433724212857
BaseRepresentation
bin10111101101100101…
…010001010011110000
32102201102000000001000
4113231211101103300
5404120431310041
615410241242000
71560641200500
oct275545212360
972642000030
1025460806896
11a885a64078
124b26933300
132529b48115
141337659a00
159e0397bb6
hex5ed9514f0

25460806896 has 240 divisors, whose sum is σ = 85245451680. Its totient is φ = 7254696960.

The previous prime is 25460806883. The next prime is 25460806909. The reversal of 25460806896 is 69860806452.

It is a happy number.

25460806896 is a `hidden beast` number, since 2 + 546 + 0 + 8 + 0 + 6 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (25460806883) and next prime (25460806909).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8910300 + ... + 8913156.

It is an arithmetic number, because the mean of its divisors is an integer number (355189382).

Almost surely, 225460806896 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 25460806896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42622725840).

25460806896 is an abundant number, since it is smaller than the sum of its proper divisors (59784644784).

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

25460806896 is a wasteful number, since it uses less digits than its factorization.

25460806896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 25460806896 in words is "twenty-five billion, four hundred sixty million, eight hundred six thousand, eight hundred ninety-six".