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339378646873933 = 2292790153116477
BaseRepresentation
bin100110100101010011011111…
…1101100001111011101001101
31122111122021121102100100102101
41031022212333230033131031
5323440334432044431213
63201444221550355101
7131325204150233662
oct11512467754173515
91574567542310371
10339378646873933
1199155748639377
1232091a321bba91
131174a36621b234
145db402ab95a69
15293803dcaabdd
hex134a9bfb0f74d

339378646873933 has 8 divisors (see below), whose sum is σ = 340872872905880. Its totient is φ = 337884527131200.

The previous prime is 339378646873913. The next prime is 339378646873951.

339378646873933 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 99690100467049 + 239688546406884 = 9984493^2 + 15481878^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-339378646873933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339378646873913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20168910 + ... + 32947567.

It is an arithmetic number, because the mean of its divisors is an integer number (42609109113235).

Almost surely, 2339378646873933 is an apocalyptic number.

It is an amenable number.

339378646873933 is a deficient number, since it is larger than the sum of its proper divisors (1494226031947).

339378646873933 is a wasteful number, since it uses less digits than its factorization.

339378646873933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53144607.

The product of its digits is 26665583616, while the sum is 82.

The spelling of 339378646873933 in words is "three hundred thirty-nine trillion, three hundred seventy-eight billion, six hundred forty-six million, eight hundred seventy-three thousand, nine hundred thirty-three".

Divisors: 1 229 27901 6389329 53116477 12163673233 1482002824777 339378646873933