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12164472432 = 243473314051
BaseRepresentation
bin10110101010000111…
…10001111001110000
31011101202121020010000
423111003301321300
5144403101104212
65331022510000
7610306211130
oct132503617160
934352536100
1012164472432
115182589202
122435a35300
1311bb25cba8
148357d2ac0
154b2e0d1dc
hex2d50f1e70

12164472432 has 200 divisors, whose sum is σ = 40368682112. Its totient is φ = 3464208000.

The previous prime is 12164472413. The next prime is 12164472469. The reversal of 12164472432 is 23427446121.

12164472432 is a `hidden beast` number, since 1 + 2 + 1 + 644 + 7 + 2 + 4 + 3 + 2 = 666.

12164472432 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 (36).

It is a nude number because it is divisible by every one of its digits.

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 39 ways as a sum of consecutive naturals, for example, 3000807 + ... + 3004857.

Almost surely, 212164472432 is an apocalyptic number.

12164472432 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 12164472432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184341056).

12164472432 is an abundant number, since it is smaller than the sum of its proper divisors (28204209680).

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

12164472432 is a wasteful number, since it uses less digits than its factorization.

12164472432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4394 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 12164472432 in words is "twelve billion, one hundred sixty-four million, four hundred seventy-two thousand, four hundred thirty-two".