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12132441432 = 2332792132989
BaseRepresentation
bin10110100110010011…
…00101110101011000
31011022112022212211200
423103021211311120
5144321401111212
65323520154200
7606440023236
oct132311456530
934275285750
1012132441432
1151664a0901
122427168960
1311b4726637
14831455956
154b01d26dc
hex2d3265d58

12132441432 has 48 divisors (see below), whose sum is σ = 33274644000. Its totient is φ = 3992953536.

The previous prime is 12132441427. The next prime is 12132441457. The reversal of 12132441432 is 23414423121.

12132441432 is a `hidden beast` number, since 1 + 213 + 2 + 4 + 414 + 32 = 666.

12132441432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121324414322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12132441396 and 12132441405.

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 11 ways as a sum of consecutive naturals, for example, 1060807 + ... + 1072182.

It is an arithmetic number, because the mean of its divisors is an integer number (693221750).

Almost surely, 212132441432 is an apocalyptic number.

12132441432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12132441432 is an abundant number, since it is smaller than the sum of its proper divisors (21142202568).

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

12132441432 is a wasteful number, since it uses less digits than its factorization.

12132441432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133080 (or 2133073 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12132441432 its reverse (23414423121), we get a palindrome (35546864553).

The spelling of 12132441432 in words is "twelve billion, one hundred thirty-two million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 2132989 4265978 6398967 8531956 12797934 17063912 19196901 25595868 38393802 51191736 76787604 153575208 168506131 337012262 505518393 674024524 1011036786 1348049048 1516555179 2022073572 3033110358 4044147144 6066220716 12132441432