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12956073381 = 3219312444081
BaseRepresentation
bin11000001000011110…
…11111110110100101
31020102221010201110200
430010033133312211
5203013223322011
65541341341113
7636030543456
oct140417376645
936387121420
1012956073381
115549402769
122616b67799
1312b6261b14
148ac9b312d
1550c676856
hex3043dfda5

12956073381 has 24 divisors (see below), whose sum is σ = 20334762240. Its totient is φ = 7918819200.

The previous prime is 12956073359. The next prime is 12956073407. The reversal of 12956073381 is 18337065921.

12956073381 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 607 + 3 + 38 + 1 = 666.

It is not a de Polignac number, because 12956073381 - 222 = 12951879077 is a prime.

It is a super-2 number, since 2×129560733812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12956073311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1216740 + ... + 1227341.

It is an arithmetic number, because the mean of its divisors is an integer number (847281760).

Almost surely, 212956073381 is an apocalyptic number.

It is an amenable number.

12956073381 is a deficient number, since it is larger than the sum of its proper divisors (7378688859).

12956073381 is a wasteful number, since it uses less digits than its factorization.

12956073381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444137 (or 2444134 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12956073381 in words is "twelve billion, nine hundred fifty-six million, seventy-three thousand, three hundred eighty-one".

Divisors: 1 3 9 19 31 57 93 171 279 589 1767 5301 2444081 7332243 21996729 46437539 75766511 139312617 227299533 417937851 681898599 1439563709 4318691127 12956073381