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25422344640 = 26335721153103
BaseRepresentation
bin10111101011010010…
…100011000111000000
32102121201121220202000
4113223102203013000
5404031110012030
615402345024000
71556663235600
oct275322430700
972551556660
1025422344640
11a866283890
124b15a85000
132521b9c4a4
1413324c6c00
159dbceb860
hex5eb4a31c0

25422344640 has 1344 divisors, whose sum is σ = 117084165120. Its totient is φ = 5132574720.

The previous prime is 25422344621. The next prime is 25422344699. The reversal of 25422344640 is 4644322452.

25422344640 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 2 + 3 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 25422344595 and 25422344604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246818829 + ... + 246818931.

Almost surely, 225422344640 is an apocalyptic number.

25422344640 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 25422344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58542082560).

25422344640 is an abundant number, since it is smaller than the sum of its proper divisors (91661820480).

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

25422344640 is a wasteful number, since it uses less digits than its factorization.

25422344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 25422344640 in words is "twenty-five billion, four hundred twenty-two million, three hundred forty-four thousand, six hundred forty".