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25042056840 = 233252347229281
BaseRepresentation
bin10111010100100111…
…110111011010001000
32101122020001021221200
4113110213313122020
5402241231304330
615300522104200
71544364654033
oct272447673210
971566037850
1025042056840
11a690651a49
124a2a64b060
132491170318
1412d7bb401a
159b872da60
hex5d49f7688

25042056840 has 384 divisors, whose sum is σ = 87420902400. Its totient is φ = 6202183680.

The previous prime is 25042056833. The next prime is 25042056841. The reversal of 25042056840 is 4865024052.

It is a happy number.

25042056840 is a `hidden beast` number, since 2 + 50 + 4 + 2 + 0 + 568 + 40 = 666.

It is a super-2 number, since 2×250420568402 (a number of 22 digits) contains 22 as substring.

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 = 25042056795 and 25042056804.

It is not an unprimeable number, because it can be changed into a prime (25042056841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 89117500 + ... + 89117780.

It is an arithmetic number, because the mean of its divisors is an integer number (227658600).

Almost surely, 225042056840 is an apocalyptic number.

25042056840 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 25042056840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43710451200).

25042056840 is an abundant number, since it is smaller than the sum of its proper divisors (62378845560).

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

25042056840 is a wasteful number, since it uses less digits than its factorization.

25042056840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 25042056840 in words is "twenty-five billion, forty-two million, fifty-six thousand, eight hundred forty".