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12965102991 = 3210960721773
BaseRepresentation
bin11000001001100011…
…11100010110001111
31020110120010110202200
430010301330112033
5203023031243431
65542303052543
7636200362041
oct140461742617
936416113680
1012965102991
11555350a855
122619ba1153
1312b80a3a99
148adc83a91
1550d35bee6
hex304c7c58f

12965102991 has 24 divisors (see below), whose sum is σ = 18931186560. Its totient is φ = 8549603136.

The previous prime is 12965102977. The next prime is 12965103001. The reversal of 12965102991 is 19920156921.

12965102991 is a `hidden beast` number, since 1 + 29 + 6 + 510 + 29 + 91 = 666.

12965102991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12965102991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12965102951) 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 23 ways as a sum of consecutive naturals, for example, 584581 + ... + 606353.

It is an arithmetic number, because the mean of its divisors is an integer number (788799440).

Almost surely, 212965102991 is an apocalyptic number.

12965102991 is a deficient number, since it is larger than the sum of its proper divisors (5966083569).

12965102991 is a wasteful number, since it uses less digits than its factorization.

12965102991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22495 (or 22492 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 12965102991 in words is "twelve billion, nine hundred sixty-five million, one hundred two thousand, nine hundred ninety-one".

Divisors: 1 3 9 109 327 607 981 1821 5463 21773 65319 66163 195957 198489 595467 2373257 7119771 13216211 21359313 39648633 118945899 1440566999 4321700997 12965102991