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12694354920 = 233251317315147
BaseRepresentation
bin10111101001010010…
…00111101111101000
31012202200200001020100
423310221013233220
5201444223324140
65455352025400
7626402144052
oct136451075750
935680601210
1012694354920
1154246a5815
122563392260
131273c78620
14885d268d2
154e46ca530
hex2f4a47be8

12694354920 has 384 divisors, whose sum is σ = 48570762240. Its totient is φ = 2845532160.

The previous prime is 12694354913. The next prime is 12694354927. The reversal of 12694354920 is 2945349621.

12694354920 is a `hidden beast` number, since 1 + 2 + 69 + 43 + 549 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12694354913) and next prime (12694354927).

It is a super-2 number, since 2×126943549202 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12694354927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2463787 + ... + 2468933.

It is an arithmetic number, because the mean of its divisors is an integer number (126486360).

Almost surely, 212694354920 is an apocalyptic number.

12694354920 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 12694354920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24285381120).

12694354920 is an abundant number, since it is smaller than the sum of its proper divisors (35876407320).

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

12694354920 is a wasteful number, since it uses less digits than its factorization.

12694354920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12694354920 in words is "twelve billion, six hundred ninety-four million, three hundred fifty-four thousand, nine hundred twenty".