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25705189952 = 261353582937
BaseRepresentation
bin10111111100001001…
…100001001001000000
32110100102211221120022
4113330021201021000
5410121012034302
615450411233012
71566666336521
oct277411411100
973312757508
1025705189952
11a9a0a00742
124b94748768
132568671c90
14135bcb2848
15a06a6c8a2
hex5fc261240

25705189952 has 56 divisors (see below), whose sum is σ = 55969043256. Its totient is φ = 11640066048.

The previous prime is 25705189943. The next prime is 25705189957. The reversal of 25705189952 is 25998150752.

It can be written as a sum of positive squares in 4 ways, for example, as 5088824896 + 20616365056 = 71336^2 + 143584^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 25705189894 and 25705189903.

It is not an unprimeable number, because it can be changed into a prime (25705189957) 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, 247373 + ... + 335564.

It is an arithmetic number, because the mean of its divisors is an integer number (999447201).

Almost surely, 225705189952 is an apocalyptic number.

It is an amenable number.

25705189952 is an abundant number, since it is smaller than the sum of its proper divisors (30263853304).

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

25705189952 is a wasteful number, since it uses less digits than its factorization.

25705189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583015 (or 583005 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 53.

The spelling of 25705189952 in words is "twenty-five billion, seven hundred five million, one hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 424 689 832 848 1378 1696 2756 3392 5512 11024 22048 44096 582937 1165874 2331748 4663496 7578181 9326992 15156362 18653984 30312724 30895661 37307968 60625448 61791322 121250896 123582644 242501792 247165288 401643593 485003584 494330576 803287186 988661152 1606574372 1977322304 3213148744 6426297488 12852594976 25705189952