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25653106240 = 265121366089
BaseRepresentation
bin10111111001000010…
…110101011001000000
32110012210211211010221
4113321002311121000
5410014143344430
615441311032424
71565464543126
oct277102653100
973183754127
1025653106240
11a974567453
124b7b20b714
13255a937308
141354dd5916
15a021d057a
hex5f90b5640

25653106240 has 56 divisors (see below), whose sum is σ = 61137744120. Its totient is φ = 10252627968.

The previous prime is 25653106231. The next prime is 25653106247. The reversal of 25653106240 is 4260135652.

It can be written as a sum of positive squares in 4 ways, for example, as 369562176 + 25283544064 = 19224^2 + 159008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25653106196 and 25653106205.

It is not an unprimeable number, because it can be changed into a prime (25653106247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355116 + ... + 421204.

Almost surely, 225653106240 is an apocalyptic number.

25653106240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25653106240 is an abundant number, since it is smaller than the sum of its proper divisors (35484637880).

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

25653106240 is a wasteful number, since it uses less digits than its factorization.

25653106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67319 (or 67309 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 25653106240 in words is "twenty-five billion, six hundred fifty-three million, one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1213 2426 4852 6065 9704 12130 19408 24260 38816 48520 66089 77632 97040 132178 194080 264356 330445 388160 528712 660890 1057424 1321780 2114848 2643560 4229696 5287120 10574240 21148480 80165957 160331914 320663828 400829785 641327656 801659570 1282655312 1603319140 2565310624 3206638280 5130621248 6413276560 12826553120 25653106240