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13645333354631 = 116311965903091
BaseRepresentation
bin1100011010010000110100…
…1111110101100010000111
31210022110222202001121102012
43012210031033311202013
53242031120314322011
645004325110004435
72605562036534156
oct306441517654207
953273882047365
1013645333354631
114390a53a44630
12164468264671b
1377c998602704
1435261ad1159d
15189e2e33ea8b
hexc690d3f5887

13645333354631 has 8 divisors (see below), whose sum is σ = 14909409049728. Its totient is φ = 12385189467000.

The previous prime is 13645333354619. The next prime is 13645333354651.

13645333354631 is nontrivially palindromic in base 10.

13645333354631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13645333354631 - 218 = 13645333092487 is a prime.

It is a super-4 number, since 4×136453333546314 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13645333354631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13645333354651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982944605 + ... + 982958486.

It is an arithmetic number, because the mean of its divisors is an integer number (1863676131216).

Almost surely, 213645333354631 is an apocalyptic number.

13645333354631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13645333354631 is a deficient number, since it is larger than the sum of its proper divisors (1264075695097).

13645333354631 is a wasteful number, since it uses less digits than its factorization.

13645333354631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965903733.

The product of its digits is 10497600, while the sum is 50.

The spelling of 13645333354631 in words is "thirteen trillion, six hundred forty-five billion, three hundred thirty-three million, three hundred fifty-four thousand, six hundred thirty-one".

Divisors: 1 11 631 6941 1965903091 21624934001 1240484850421 13645333354631