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12991444775280 = 243251729239153137
BaseRepresentation
bin1011110100001100111001…
…1100110111000101110000
31200222222012010100002020200
42331003032130313011300
53200322434330302110
643344104244235200
72510413053366306
oct275031634670560
950888163302220
1012991444775280
114159705986844
1215599b469bb00
1373311b3c597a
1432cb09b0c276
15177e0d5656c0
hexbd0ce737170

12991444775280 has 480 divisors, whose sum is σ = 47989283846400. Its totient is φ = 3134970789888.

The previous prime is 12991444775273. The next prime is 12991444775333. The reversal of 12991444775280 is 8257744419921.

12991444775280 is a `hidden beast` number, since 1 + 2 + 99 + 14 + 4 + 4 + 7 + 7 + 528 + 0 = 666.

It is a super-3 number, since 3×129914447752803 (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 84758872 + ... + 84912008.

It is an arithmetic number, because the mean of its divisors is an integer number (99977674680).

Almost surely, 212991444775280 is an apocalyptic number.

12991444775280 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 12991444775280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23994641923200).

12991444775280 is an abundant number, since it is smaller than the sum of its proper divisors (34997839071120).

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

12991444775280 is a wasteful number, since it uses less digits than its factorization.

12991444775280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153441 (or 153432 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 12991444775280 in words is "twelve trillion, nine hundred ninety-one billion, four hundred forty-four million, seven hundred seventy-five thousand, two hundred eighty".