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12150815424 = 2631189127509
BaseRepresentation
bin10110101000011111…
…01011101011000000
31011100210220101012220
423110033223223000
5144341102043144
65325414051040
7610052140566
oct132417535300
934323811186
1012150815424
115175900520
122431349a80
1311b848a917
14833a79a36
154b1b11919
hex2d43ebac0

12150815424 has 224 divisors, whose sum is σ = 35815219200. Its totient is φ = 3604930560.

The previous prime is 12150815407. The next prime is 12150815441. The reversal of 12150815424 is 42451805121.

12150815424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12150815407) and next prime (12150815441).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 23871682 + ... + 23872190.

Almost surely, 212150815424 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 12150815424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907609600).

12150815424 is an abundant number, since it is smaller than the sum of its proper divisors (23664403776).

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

12150815424 is a wasteful number, since it uses less digits than its factorization.

12150815424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The spelling of 12150815424 in words is "twelve billion, one hundred fifty million, eight hundred fifteen thousand, four hundred twenty-four".