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54332122123345 = 511987856765879
BaseRepresentation
bin11000101101010001011101…
…10101101100110001010001
321010101002201000012221011011
430112220232311230301101
524110134141230421340
6311315455441050521
714305236431044153
oct1426505665546121
9233332630187134
1054332122123345
111634813a559730
126115b19926a41
132441660277c91
14d5b98dc9cad3
1564348338a0ea
hex316a2ed6cc51

54332122123345 has 8 divisors (see below), whose sum is σ = 71125687143360. Its totient is φ = 39514270635120.

The previous prime is 54332122123339. The next prime is 54332122123379.

54332122123345 is nontrivially palindromic in base 10.

54332122123345 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 not a de Polignac number, because 54332122123345 - 27 = 54332122123217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54332122123298 and 54332122123307.

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 7 ways as a sum of consecutive naturals, for example, 493928382885 + ... + 493928382994.

It is an arithmetic number, because the mean of its divisors is an integer number (8890710892920).

Almost surely, 254332122123345 is an apocalyptic number.

54332122123345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54332122123345 is a deficient number, since it is larger than the sum of its proper divisors (16793565020015).

54332122123345 is a wasteful number, since it uses less digits than its factorization.

54332122123345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987856765895.

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 5433212 and 2123345, that added together give a palindrome (7556557).

The spelling of 54332122123345 in words is "fifty-four trillion, three hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, three hundred forty-five".

Divisors: 1 5 11 55 987856765879 4939283829395 10866424424669 54332122123345