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12975943743 = 337421916273
BaseRepresentation
bin11000001010110110…
…10011000000111111
31020111022112020111000
430011123103000333
5203033320144433
65543331301343
7636361462530
oct140533230077
936438466430
1012975943743
115559644654
12262174a853
1312ba3cb229
148b14a6687
1550e29e113
hex3056d303f

12975943743 has 32 divisors (see below), whose sum is σ = 21976409600. Its totient is φ = 7412611968.

The previous prime is 12975943727. The next prime is 12975943759. The reversal of 12975943743 is 34734957921.

12975943743 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 594 + 3 + 7 + 43 = 666.

12975943743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1139122-1.

It is an interprime number because it is at equal distance from previous prime (12975943727) and next prime (12975943759).

It is not a de Polignac number, because 12975943743 - 24 = 12975943727 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12975943743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12975943703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789255 + ... + 805527.

It is an arithmetic number, because the mean of its divisors is an integer number (686762800).

Almost surely, 212975943743 is an apocalyptic number.

12975943743 is a deficient number, since it is larger than the sum of its proper divisors (9000465857).

12975943743 is a wasteful number, since it uses less digits than its factorization.

12975943743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20508 (or 20502 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 12975943743 in words is "twelve billion, nine hundred seventy-five million, nine hundred forty-three thousand, seven hundred forty-three".

Divisors: 1 3 7 9 21 27 63 189 4219 12657 16273 29533 37971 48819 88599 113911 113913 146457 265797 341733 439371 797391 1025199 3075597 68655787 205967361 480590509 617902083 1441771527 1853706249 4325314581 12975943743