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25716495168 = 2633721361383
BaseRepresentation
bin10111111100110100…
…101001001101000000
32110101020010022102000
4113330310221031000
5410131410321133
615451453424000
71600164413400
oct277464511500
973336108360
1025716495168
11a9a73224a1
124b9849b000
13256aacc960
14135d5b6800
15a07a52413
hex5fcd29340

25716495168 has 672 divisors, whose sum is σ = 96513822720. Its totient is φ = 6653767680.

The previous prime is 25716495157. The next prime is 25716495169. The reversal of 25716495168 is 86159461752.

It is a happy number.

25716495168 is a `hidden beast` number, since 2 + 571 + 6 + 4 + 9 + 5 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×257164951682 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25716495169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67144705 + ... + 67145087.

It is an arithmetic number, because the mean of its divisors is an integer number (143621760).

Almost surely, 225716495168 is an apocalyptic number.

25716495168 is a gapful number since it is divisible by the number (28) 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 25716495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48256911360).

25716495168 is an abundant number, since it is smaller than the sum of its proper divisors (70797327552).

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

25716495168 is a wasteful number, since it uses less digits than its factorization.

25716495168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 469 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 25716495168 in words is "twenty-five billion, seven hundred sixteen million, four hundred ninety-five thousand, one hundred sixty-eight".