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25482286368 = 253571125373
BaseRepresentation
bin10111101110110111…
…001101010100100000
32102202220102021100000
4113232313031110200
5404141431130433
615412325500000
71561321601040
oct275667152440
972686367300
1025482286368
11a8970a4a00
124b31b71600
132531428a76
14133a44b720
159e21dc113
hex5eedcd520

25482286368 has 864 divisors, whose sum is σ = 97500993408. Its totient is φ = 6404935680.

The previous prime is 25482286321. The next prime is 25482286387. The reversal of 25482286368 is 86368228452.

It is a happy number.

25482286368 is a `hidden beast` number, since 2 + 54 + 8 + 228 + 6 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (8847360) is a multiple of the sum of its prime factors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 349072380 + ... + 349072452.

It is an arithmetic number, because the mean of its divisors is an integer number (112848372).

Almost surely, 225482286368 is an apocalyptic number.

25482286368 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 25482286368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48750496704).

25482286368 is an abundant number, since it is smaller than the sum of its proper divisors (72018707040).

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

25482286368 is a wasteful number, since it uses less digits than its factorization.

25482286368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 25482286368 in words is "twenty-five billion, four hundred eighty-two million, two hundred eighty-six thousand, three hundred sixty-eight".