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12158968536 = 23331113894423
BaseRepresentation
bin10110101001011101…
…10010001011011000
31011101101020121012000
423110232302023120
5144400143443121
65330304521000
7610211345601
oct132456621330
934341217160
1012158968536
11517a46a030
122434020160
1311ba083950
14834b9cda8
154b26c2526
hex2d4bb22d8

12158968536 has 256 divisors, whose sum is σ = 40134528000. Its totient is φ = 3362135040.

The previous prime is 12158968501. The next prime is 12158968589. The reversal of 12158968536 is 63586985121.

12158968536 is a `hidden beast` number, since 1 + 2 + 1 + 589 + 6 + 8 + 53 + 6 = 666.

12158968536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2746821 + ... + 2751243.

It is an arithmetic number, because the mean of its divisors is an integer number (156775500).

Almost surely, 212158968536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12158968536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067264000).

12158968536 is an abundant number, since it is smaller than the sum of its proper divisors (27975559464).

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

12158968536 is a wasteful number, since it uses less digits than its factorization.

12158968536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4541 counting only the distinct ones).

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

The spelling of 12158968536 in words is "twelve billion, one hundred fifty-eight million, nine hundred sixty-eight thousand, five hundred thirty-six".