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12161992032 = 25321741431409
BaseRepresentation
bin10110101001110100…
…10100010101100000
31011101120221012122100
423110322110111200
5144401432221112
65330453410400
7610246140501
oct132472242540
934346835570
1012161992032
115181144693
122435039a00
1311ba8a1bb8
14835348ba8
154b2abd2dc
hex2d4e94560

12161992032 has 288 divisors, whose sum is σ = 38412934560. Its totient is φ = 3633315840.

The previous prime is 12161992027. The next prime is 12161992043. The reversal of 12161992032 is 23029916121.

12161992032 is a `hidden beast` number, since 1 + 2 + 1 + 619 + 9 + 2 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8630944 + ... + 8632352.

It is an arithmetic number, because the mean of its divisors is an integer number (133378245).

Almost surely, 212161992032 is an apocalyptic number.

12161992032 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 12161992032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206467280).

12161992032 is an abundant number, since it is smaller than the sum of its proper divisors (26250942528).

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

12161992032 is a wasteful number, since it uses less digits than its factorization.

12161992032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 12161992032 in words is "twelve billion, one hundred sixty-one million, nine hundred ninety-two thousand, thirty-two".