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12091677360 = 2435741349503
BaseRepresentation
bin10110100001011100…
…00101101010110000
31011012200121212001020
423100232011222300
5144230432133420
65315502335440
7605433363450
oct132056055260
934180555036
1012091677360
115145489194
12241558a580
1311a9153099
14829c83d60
154ab82e340
hex2d0b85ab0

12091677360 has 320 divisors, whose sum is σ = 44097177600. Its totient is φ = 2683330560.

The previous prime is 12091677347. The next prime is 12091677427. The reversal of 12091677360 is 6377619021.

It is a super-2 number, since 2×120916773602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24038869 + ... + 24039371.

It is an arithmetic number, because the mean of its divisors is an integer number (137803680).

Almost surely, 212091677360 is an apocalyptic number.

12091677360 is a gapful number since it is divisible by the number (10) 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 12091677360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048588800).

12091677360 is an abundant number, since it is smaller than the sum of its proper divisors (32005500240).

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

12091677360 is a wasteful number, since it uses less digits than its factorization.

12091677360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 12091677360 in words is "twelve billion, ninety-one million, six hundred seventy-seven thousand, three hundred sixty".