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12440252160 = 28345761281
BaseRepresentation
bin10111001010111111…
…10010111100000000
31012002222112021210000
423211133302330000
5200434201032120
65414233440000
7620165253510
oct134537627400
935088467700
1012440252160
11530421a636
1224b2270000
13123342a66b
1486029d840
154cc235990
hex2e57f2f00

12440252160 has 720 divisors, whose sum is σ = 51890553792. Its totient is φ = 2786918400.

The previous prime is 12440252093. The next prime is 12440252179. The reversal of 12440252160 is 6125204421.

12440252160 is a `hidden beast` number, since 1 + 2 + 440 + 2 + 5 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44271220 + ... + 44271500.

Almost surely, 212440252160 is an apocalyptic number.

12440252160 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 12440252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945276896).

12440252160 is an abundant number, since it is smaller than the sum of its proper divisors (39450301632).

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

12440252160 is an equidigital number, since it uses as much as digits as its factorization.

12440252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12440252160 its reverse (6125204421), we get a palindrome (18565456581).

The spelling of 12440252160 in words is "twelve billion, four hundred forty million, two hundred fifty-two thousand, one hundred sixty".