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12825995382 = 23623393761
BaseRepresentation
bin10111111000111110…
…10010100001110110
31020002212101002000000
423330133102201312
5202231423323012
65520413332130
7632561106354
oct137437224166
936085332000
1012825995382
115491a38192
12259b497046
1312953199a5
148995d27d4
1550102eddc
hex2fc7d2876

12825995382 has 56 divisors (see below), whose sum is σ = 28865299320. Its totient is φ = 4272367680.

The previous prime is 12825995327. The next prime is 12825995383. The reversal of 12825995382 is 28359952821.

It is a happy number.

12825995382 is a `hidden beast` number, since 1 + 2 + 8 + 259 + 9 + 5 + 382 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12825995383) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3408382 + ... + 3412142.

Almost surely, 212825995382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12825995382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432649660).

12825995382 is an abundant number, since it is smaller than the sum of its proper divisors (16039303938).

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

12825995382 is an equidigital number, since it uses as much as digits as its factorization.

12825995382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6105 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 12825995382 in words is "twelve billion, eight hundred twenty-five million, nine hundred ninety-five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2339 3761 4678 7017 7522 11283 14034 21051 22566 33849 42102 63153 67698 101547 126306 189459 203094 304641 378918 568377 609282 913923 1136754 1705131 1827846 2741769 3410262 5483538 8796979 17593958 26390937 52781874 79172811 158345622 237518433 475036866 712555299 1425110598 2137665897 4275331794 6412997691 12825995382