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12102506640 = 24325731711091
BaseRepresentation
bin10110100010101110…
…11001100010010000
31011020110000001000200
423101113121202100
5144241220203030
65320530415200
7605624415630
oct132127314220
934213001020
1012102506640
115150605404
122419131500
1311ab475243
1482b4a26c0
154ac76cd60
hex2d15d9890

12102506640 has 480 divisors, whose sum is σ = 48668884992. Its totient is φ = 2636928000.

The previous prime is 12102506579. The next prime is 12102506653. The reversal of 12102506640 is 4660520121.

12102506640 is a `hidden beast` number, since 1 + 2 + 10 + 2 + 5 + 0 + 6 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11092495 + ... + 11093585.

Almost surely, 212102506640 is an apocalyptic number.

12102506640 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 12102506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24334442496).

12102506640 is an abundant number, since it is smaller than the sum of its proper divisors (36566378352).

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

12102506640 is a wasteful number, since it uses less digits than its factorization.

12102506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12102506640 in words is "twelve billion, one hundred two million, five hundred six thousand, six hundred forty".