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12863750455296 = 214361382847
BaseRepresentation
bin1011101100110001001101…
…0001101100000000000000
31200112202120212221112000000
42323030103101230000000
53141224430104032141
643205305252000000
72465242504521156
oct273142321540000
950482525845000
1012863750455296
11410a538858194
1215390b8000000
1372407b104750
1432687494d3d6
15174937d465b6
hexbb31346c000

12863750455296 has 420 divisors, whose sum is σ = 41540039725632. Its totient is φ = 3958029287424.

The previous prime is 12863750455279. The next prime is 12863750455343. The reversal of 12863750455296 is 69255405736821.

12863750455296 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 3 + 75 + 0 + 4 + 552 + 9 + 6 = 666.

It is a super-2 number, since 2×128637504552962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 155229745 + ... + 155312591.

It is a 1-persistent number, because it is pandigital, but 2⋅12863750455296 = 25727500910592 is not.

Almost surely, 212863750455296 is an apocalyptic number.

12863750455296 is a gapful number since it is divisible by the number (16) 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 12863750455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770019862816).

12863750455296 is an abundant number, since it is smaller than the sum of its proper divisors (28676289270336).

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

12863750455296 is an frugal number, since it uses more digits than its factorization.

12863750455296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82906 (or 82865 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 12863750455296 in words is "twelve trillion, eight hundred sixty-three billion, seven hundred fifty million, four hundred fifty-five thousand, two hundred ninety-six".