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12944262327864 = 2337267211778597
BaseRepresentation
bin1011110001011101001000…
…1010000110111000111000
31200211110101220020102011020
42330113102022012320320
53144034322123442424
643310302332502440
72504122613245500
oct274272212067070
950743356212136
1012944262327864
1141406a369a74a
12155082731aa20
1372b83c2ba62a
1432a711690a00
15176a9b226079
hexbc5d2286e38

12944262327864 has 192 divisors, whose sum is σ = 38386999186560. Its totient is φ = 3625890428160.

The previous prime is 12944262327827. The next prime is 12944262327901. The reversal of 12944262327864 is 46872326244921.

It is an interprime number because it is at equal distance from previous prime (12944262327827) and next prime (12944262327901).

It is a junction number, because it is equal to n+sod(n) for n = 12944262327798 and 12944262327807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16235814 + ... + 17014410.

It is an arithmetic number, because the mean of its divisors is an integer number (199932287430).

Almost surely, 212944262327864 is an apocalyptic number.

12944262327864 is a gapful number since it is divisible by the number (14) 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 12944262327864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19193499593280).

12944262327864 is an abundant number, since it is smaller than the sum of its proper divisors (25442736858696).

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

12944262327864 is a wasteful number, since it uses less digits than its factorization.

12944262327864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778898 (or 778887 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 60.

The spelling of 12944262327864 in words is "twelve trillion, nine hundred forty-four billion, two hundred sixty-two million, three hundred twenty-seven thousand, eight hundred sixty-four".