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12094833024 = 2732311492273
BaseRepresentation
bin10110100001110100…
…01000000110000000
31011012220120011210200
423100322020012000
5144232234124044
65320054125200
7605502245601
oct132072100600
934186504720
1012094833024
11514724407a
122416650800
1311a99b9541
1482a465da8
154abc54369
hex2d0e88180

12094833024 has 192 divisors, whose sum is σ = 36183888000. Its totient is φ = 3873669120.

The previous prime is 12094833013. The next prime is 12094833043. The reversal of 12094833024 is 42033849021.

12094833024 is a `hidden beast` number, since 120 + 9 + 483 + 30 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12094833024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5319952 + ... + 5322224.

It is an arithmetic number, because the mean of its divisors is an integer number (188457750).

Almost surely, 212094833024 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 12094833024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18091944000).

12094833024 is an abundant number, since it is smaller than the sum of its proper divisors (24089054976).

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

12094833024 is a wasteful number, since it uses less digits than its factorization.

12094833024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12094833024 in words is "twelve billion, ninety-four million, eight hundred thirty-three thousand, twenty-four".