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25504064040 = 233571319831481
BaseRepresentation
bin10111110000001010…
…010010001000101000
32102211102101200200110
4113300022102020220
5404213020022130
615414424334320
71562004652560
oct276012221050
972742350613
1025504064040
11a8a8419884
124b393143a0
132535ab2370
14133d2b9da0
159e408eab0
hex5f0292228

25504064040 has 512 divisors, whose sum is σ = 100387123200. Its totient is φ = 5033041920.

The previous prime is 25504064039. The next prime is 25504064041. The reversal of 25504064040 is 4046040552.

It is an interprime number because it is at equal distance from previous prime (25504064039) and next prime (25504064041).

It is a super-2 number, since 2×255040640402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25504063989 and 25504064007.

It is not an unprimeable number, because it can be changed into a prime (25504064041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17220100 + ... + 17221580.

It is an arithmetic number, because the mean of its divisors is an integer number (196068600).

Almost surely, 225504064040 is an apocalyptic number.

25504064040 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 25504064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193561600).

25504064040 is an abundant number, since it is smaller than the sum of its proper divisors (74883059160).

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

25504064040 is a wasteful number, since it uses less digits than its factorization.

25504064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 25504064040 in words is "twenty-five billion, five hundred four million, sixty-four thousand, forty".