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12690846720 = 21034571431
BaseRepresentation
bin10111101000110111…
…01111010000000000
31012202110001210220000
423310123233100000
5201442324043340
65455144520000
7626330263056
oct136433572000
935673053800
1012690846720
115422719a82
122562180000
13127331a876
148856921d6
154e4235d30
hex2f46ef400

12690846720 has 440 divisors, whose sum is σ = 46224338688. Its totient is φ = 3328819200.

The previous prime is 12690846713. The next prime is 12690846733. The reversal of 12690846720 is 2764809621.

It is a happy number.

It is a super-2 number, since 2×126908467202 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29444905 + ... + 29445335.

Almost surely, 212690846720 is an apocalyptic number.

12690846720 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 12690846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23112169344).

12690846720 is an abundant number, since it is smaller than the sum of its proper divisors (33533491968).

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

12690846720 is an equidigital number, since it uses as much as digits as its factorization.

12690846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12690846720 in words is "twelve billion, six hundred ninety million, eight hundred forty-six thousand, seven hundred twenty".