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12680836740 = 223451113194367
BaseRepresentation
bin10111100111101011…
…00011011010000100
31012201202020020210000
423303311203122010
5201432243233430
65454150201300
7626146222335
oct136365433204
935652206700
1012680836740
115418002370
12255a953230
1312712245c0
1488420828c
154e3409e60
hex2f3d63684

12680836740 has 960 divisors, whose sum is σ = 51089955840. Its totient is φ = 2586608640.

The previous prime is 12680836711. The next prime is 12680836769. The reversal of 12680836740 is 4763808621.

It is an interprime number because it is at equal distance from previous prime (12680836711) and next prime (12680836769).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 189266187 + ... + 189266253.

It is an arithmetic number, because the mean of its divisors is an integer number (53218704).

Almost surely, 212680836740 is an apocalyptic number.

12680836740 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 12680836740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25544977920).

12680836740 is an abundant number, since it is smaller than the sum of its proper divisors (38409119100).

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

12680836740 is a wasteful number, since it uses less digits than its factorization.

12680836740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12680836740 in words is "twelve billion, six hundred eighty million, eight hundred thirty-six thousand, seven hundred forty".