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12696165435005 = 5131597122307841
BaseRepresentation
bin1011100011000000111001…
…1011100100011001111101
31122221202000121011102020122
42320300032123210121331
53131003221322410010
643000312103224325
72450160546406163
oct270601633443175
948852017142218
1012696165435005
114055460444018
1215107281480a5
137113215ac650
1431c6d7915233
151703ca530855
hexb8c0e6e467d

12696165435005 has 16 divisors (see below), whose sum is σ = 16417626247344. Its totient is φ = 9369759006720.

The previous prime is 12696165434983. The next prime is 12696165435013. The reversal of 12696165435005 is 50053456169621.

It can be written as a sum of positive squares in 8 ways, for example, as 1318186423129 + 11377979011876 = 1148123^2 + 3373126^2 .

It is not a de Polignac number, because 12696165435005 - 220 = 12696164386429 is a prime.

It is a super-2 number, since 2×126961654350052 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61050116 + ... + 61257725.

It is an arithmetic number, because the mean of its divisors is an integer number (1026101640459).

Almost surely, 212696165435005 is an apocalyptic number.

It is an amenable number.

12696165435005 is a deficient number, since it is larger than the sum of its proper divisors (3721460812339).

12696165435005 is a wasteful number, since it uses less digits than its factorization.

12696165435005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122309456.

The product of its (nonzero) digits is 5832000, while the sum is 53.

The spelling of 12696165435005 in words is "twelve trillion, six hundred ninety-six billion, one hundred sixty-five million, four hundred thirty-five thousand, five".

Divisors: 1 5 13 65 1597 7985 20761 103805 122307841 611539205 1590001933 7950009665 195325622077 976628110385 2539233087001 12696165435005