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12795243989760 = 28325532395407
BaseRepresentation
bin1011101000110001111111…
…1110010000101100000000
31200022012202112221111020200
42322030133332100230000
53134114124430133020
643114015352405200
72460266034260331
oct272143776205400
950265675844220
1012795243989760
11409348372a721
1215279793a6800
1371a7812274cb
14323416436288
15172c78904590
hexba31ff90b00

12795243989760 has 324 divisors, whose sum is σ = 45121372619232. Its totient is φ = 3347678011392.

The previous prime is 12795243989701. The next prime is 12795243989777. The reversal of 12795243989760 is 6798934259721.

12795243989760 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 52 + 439 + 89 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32161977 + ... + 32557383.

It is a 1-persistent number, because it is pandigital, but 2⋅12795243989760 = 25590487979520 is not.

Almost surely, 212795243989760 is an apocalyptic number.

12795243989760 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 12795243989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560686309616).

12795243989760 is an abundant number, since it is smaller than the sum of its proper divisors (32326128629472).

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

12795243989760 is an equidigital number, since it uses as much as digits as its factorization.

12795243989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395540 (or 395470 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 12795243989760 in words is "twelve trillion, seven hundred ninety-five billion, two hundred forty-three million, nine hundred eighty-nine thousand, seven hundred sixty".