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12244522680 = 23335131729261
BaseRepresentation
bin10110110011101010…
…01001011010111000
31011121100020012102000
423121311021122320
5200034044211210
65343002341000
7612300503565
oct133165113270
934540205360
1012244522680
115213794135
1224587ba760
131201a0a0c0
148422ad86c
154b9e71ac0
hex2d9d496b8

12244522680 has 768 divisors, whose sum is σ = 48990614400. Its totient is φ = 2694021120.

The previous prime is 12244522601. The next prime is 12244522687. The reversal of 12244522680 is 8622544221.

12244522680 is a `hidden beast` number, since 12 + 2 + 44 + 522 + 6 + 80 = 666.

It is a super-2 number, since 2×122445226802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244522687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200729850 + ... + 200729910.

Almost surely, 212244522680 is an apocalyptic number.

12244522680 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 12244522680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24495307200).

12244522680 is an abundant number, since it is smaller than the sum of its proper divisors (36746091720).

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

12244522680 is a wasteful number, since it uses less digits than its factorization.

12244522680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 12244522680 in words is "twelve billion, two hundred forty-four million, five hundred twenty-two thousand, six hundred eighty".