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12335690133569 = 11371991021149173
BaseRepresentation
bin1011001110000010000001…
…1011011011000001000001
31121200021120110021202202102
42303200200123123001001
53104101443133233234
642122534322400145
72412136621040405
oct263404033330101
947607513252672
1012335690133569
113a2659a542760
1214728a5800055
136b633470870a
1430909cb57105
15165d2da33c7e
hexb38206db041

12335690133569 has 32 divisors (see below), whose sum is σ = 13903971513600. Its totient is φ = 10845639763200.

The previous prime is 12335690133563. The next prime is 12335690133607. The reversal of 12335690133569 is 96533109653321.

It is a happy number.

It is not a de Polignac number, because 12335690133569 - 24 = 12335690133553 is a prime.

It is a super-2 number, since 2×123356901335692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12335690133563) 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, 82619267 + ... + 82768439.

It is an arithmetic number, because the mean of its divisors is an integer number (434499109800).

Almost surely, 212335690133569 is an apocalyptic number.

It is an amenable number.

12335690133569 is a deficient number, since it is larger than the sum of its proper divisors (1568281380031).

12335690133569 is a wasteful number, since it uses less digits than its factorization.

12335690133569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150441.

The product of its (nonzero) digits is 11809800, while the sum is 56.

The spelling of 12335690133569 in words is "twelve trillion, three hundred thirty-five billion, six hundred ninety million, one hundred thirty-three thousand, five hundred sixty-nine".

Divisors: 1 11 37 199 407 1021 2189 7363 11231 37777 80993 149173 203179 415547 1640903 2234969 5519401 7517623 29685427 60713411 82693853 152305633 326539697 1098360799 1675361963 5635308421 12081968789 30308820967 61988392631 333397030637 1121426375779 12335690133569