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25093297152 = 210347113929
BaseRepresentation
bin10111010111101011…
…010101010000000000
32101202210110120110000
4113113223111100000
5402342341002102
615305552240000
71545556335510
oct272753252000
971683416400
1025093297152
11a70756a610
124a43840000
13249b971131
141300911840
159bcea101c
hex5d7ad5400

25093297152 has 440 divisors, whose sum is σ = 93447351360. Its totient is φ = 6516080640.

The previous prime is 25093297127. The next prime is 25093297153. The reversal of 25093297152 is 25179239052.

25093297152 is a `hidden beast` number, since 2 + 509 + 3 + 2 + 97 + 1 + 52 = 666.

It is a super-2 number, since 2×250932971522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25093297098 and 25093297107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25093297153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6384724 + ... + 6388652.

It is an arithmetic number, because the mean of its divisors is an integer number (212380344).

Almost surely, 225093297152 is an apocalyptic number.

25093297152 is a gapful number since it is divisible by the number (22) 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 25093297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46723675680).

25093297152 is an abundant number, since it is smaller than the sum of its proper divisors (68354054208).

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

25093297152 is a wasteful number, since it uses less digits than its factorization.

25093297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 25093297152 in words is "twenty-five billion, ninety-three million, two hundred ninety-seven thousand, one hundred fifty-two".