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12149232495296 = 2613376710755051
BaseRepresentation
bin1011000011001011011010…
…1011111110101011000000
31121000110021220100100010212
42300302312223332223000
53043023112004322141
641501140320213252
72362516210210511
oct260626653765300
947013256310125
1012149232495296
113964508017346
12144272946a228
136a188ac55b40
14300051462a08
151610694462eb
hexb0cb6afeac0

12149232495296 has 224 divisors, whose sum is σ = 27316252760832. Its totient is φ = 5324034355200.

The previous prime is 12149232495271. The next prime is 12149232495353. The reversal of 12149232495296 is 69259423294121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220662971 + ... + 220718021.

It is an arithmetic number, because the mean of its divisors is an integer number (121947556968).

Almost surely, 212149232495296 is an apocalyptic number.

12149232495296 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 12149232495296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658126380416).

12149232495296 is an abundant number, since it is smaller than the sum of its proper divisors (15167020265536).

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

12149232495296 is a wasteful number, since it uses less digits than its factorization.

12149232495296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55287 (or 55277 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 59.

The spelling of 12149232495296 in words is "twelve trillion, one hundred forty-nine billion, two hundred thirty-two million, four hundred ninety-five thousand, two hundred ninety-six".