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12696735031596 = 223271125364712143
BaseRepresentation
bin1011100011000011000001…
…1000011010000100101100
31122221210111021221220212200
42320300300120122010230
53131010403132002341
643000444411501500
72450210634036510
oct270606030320454
948853437856780
1012696735031596
114055722a16400
121510866a57890
137113b25c1755
1431c74d426140
15170410544db6
hexb8c3061a12c

12696735031596 has 432 divisors, whose sum is σ = 41144666314752. Its totient is φ = 3230362586880.

The previous prime is 12696735031523. The next prime is 12696735031597. The reversal of 12696735031596 is 69513053769621.

12696735031596 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 6 + 7 + 3 + 5 + 0 + 31 + 596 = 666.

It is a super-2 number, since 2×126967350315962 (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 not an unprimeable number, because it can be changed into a prime (12696735031597) 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 143 ways as a sum of consecutive naturals, for example, 1045595101 + ... + 1045607243.

It is an arithmetic number, because the mean of its divisors is an integer number (95242283136).

Almost surely, 212696735031596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12696735031596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20572333157376).

12696735031596 is an abundant number, since it is smaller than the sum of its proper divisors (28447931283156).

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

12696735031596 is a wasteful number, since it uses less digits than its factorization.

12696735031596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12882 (or 12866 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 12696735031596 in words is "twelve trillion, six hundred ninety-six billion, seven hundred thirty-five million, thirty-one thousand, five hundred ninety-six".