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12946497822720 = 213335721137587
BaseRepresentation
bin1011110001100101011101…
…1001110110000000000000
31200211200011200201022121000
42330121113121312000000
53144103411420311340
643311312231132000
72504232166530300
oct274312731660000
950750150638530
1012946497822720
114141640563060
12155114bb14000
1372bb07499057
1432a88452b600
15176b7c604d30
hexbc657676000

12946497822720 has 2688 divisors, whose sum is σ = 60092697208320. Its totient is φ = 2613014691840.

The previous prime is 12946497822703. The next prime is 12946497822751. The reversal of 12946497822720 is 2722879464921.

It is a happy number.

12946497822720 is a `hidden beast` number, since 1 + 2 + 9 + 46 + 497 + 82 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×129464978227202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22055362267 + ... + 22055362853.

It is an arithmetic number, because the mean of its divisors is an integer number (22355914140).

Almost surely, 212946497822720 is an apocalyptic number.

12946497822720 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 12946497822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046348604160).

12946497822720 is an abundant number, since it is smaller than the sum of its proper divisors (47146199385600).

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

12946497822720 is a wasteful number, since it uses less digits than its factorization.

12946497822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 12946497822720 in words is "twelve trillion, nine hundred forty-six billion, four hundred ninety-seven million, eight hundred twenty-two thousand, seven hundred twenty".