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12641943552 = 21437229181
BaseRepresentation
bin10111100011000010…
…01100000000000000
31012122001001021100120
423301201030000000
5201342314143202
65450240420240
7625164514200
oct136141140000
935561037316
1012641943552
1153a8058337
122549917680
131266157794
1487cda2400
154decc60bc
hex2f184c000

12641943552 has 360 divisors, whose sum is σ = 40790982960. Its totient is φ = 3468165120.

The previous prime is 12641943539. The next prime is 12641943593. The reversal of 12641943552 is 25534914621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69844902 + ... + 69845082.

It is an arithmetic number, because the mean of its divisors is an integer number (113308286).

Almost surely, 212641943552 is an apocalyptic number.

12641943552 is a gapful number since it is divisible by the number (12) 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 12641943552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20395491480).

12641943552 is an abundant number, since it is smaller than the sum of its proper divisors (28149039408).

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

12641943552 is an equidigital number, since it uses as much as digits as its factorization.

12641943552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 12641943552 in words is "twelve billion, six hundred forty-one million, nine hundred forty-three thousand, five hundred fifty-two".