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12632394852 = 2236711127443
BaseRepresentation
bin10111100001111001…
…10000110001100100
31012121101002011000000
423300330300301210
5201332343113402
65445300021300
7625020404340
oct136074606144
935541064000
1012632394852
1153a2726250
122546691830
13126419346c
1487b9d8620
154de03bc1c
hex2f0f30c64

12632394852 has 336 divisors, whose sum is σ = 41742876672. Its totient is φ = 3247957440.

The previous prime is 12632394851. The next prime is 12632394877. The reversal of 12632394852 is 25849323621.

12632394852 is a `hidden beast` number, since 1 + 2 + 632 + 3 + 9 + 4 + 8 + 5 + 2 = 666.

It is a super-2 number, since 2×126323948522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12632394798 and 12632394807.

It is not an unprimeable number, because it can be changed into a prime (12632394851) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28515343 + ... + 28515785.

It is an arithmetic number, because the mean of its divisors is an integer number (124234752).

Almost surely, 212632394852 is an apocalyptic number.

12632394852 is a gapful number since it is divisible by the number (12) 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 12632394852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871438336).

12632394852 is an abundant number, since it is smaller than the sum of its proper divisors (29110481820).

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

12632394852 is a wasteful number, since it uses less digits than its factorization.

12632394852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 593 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 12632394852 in words is "twelve billion, six hundred thirty-two million, three hundred ninety-four thousand, eight hundred fifty-two".