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12692817720 = 233351122341103
BaseRepresentation
bin10111101001000110…
…10000011100111000
31012202120202221121000
423310203100130320
5201443330131340
65455255045000
7626353112322
oct136443203470
935676687530
1012692817720
115423845900
122562970760
13127385aa3b
14885a46612
154e44c4d30
hex2f48d0738

12692817720 has 768 divisors, whose sum is σ = 50193561600. Its totient is φ = 2843596800.

The previous prime is 12692817707. The next prime is 12692817733. The reversal of 12692817720 is 2771829621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12692817707) and next prime (12692817733).

It is a super-2 number, since 2×126928177202 (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 191 ways as a sum of consecutive naturals, for example, 123231189 + ... + 123231291.

It is an arithmetic number, because the mean of its divisors is an integer number (65356200).

Almost surely, 212692817720 is an apocalyptic number.

12692817720 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 12692817720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096780800).

12692817720 is an abundant number, since it is smaller than the sum of its proper divisors (37500743880).

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

12692817720 is a wasteful number, since it uses less digits than its factorization.

12692817720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12692817720 in words is "twelve billion, six hundred ninety-two million, eight hundred seventeen thousand, seven hundred twenty".