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933424909424339 = 471371088913312909
BaseRepresentation
bin1101010000111100011110110…
…0001001101001011011010011
311112101222112211211212000212012
43110033013230021221123103
51434321213203303034324
613105121252243053135
7400416503262265133
oct32417075411513323
94471875754760765
10933424909424339
1125046631003a7a2
12888340016711ab
13310ab78c031447
1412670014436ac3
1572da7cd6c320e
hex350f1ec2696d3

933424909424339 has 16 divisors (see below), whose sum is σ = 960331555497600. Its totient is φ = 906813095053824.

The previous prime is 933424909424327. The next prime is 933424909424389.

933424909424339 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 933424909424339 - 212 = 933424909420243 is a prime.

It is a super-2 number, since 2×9334249094243392 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (933424909424389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63457817 + ... + 76770725.

It is an arithmetic number, because the mean of its divisors is an integer number (60020722218600).

Almost surely, 2933424909424339 is an apocalyptic number.

933424909424339 is a deficient number, since it is larger than the sum of its proper divisors (26906646073261).

933424909424339 is a wasteful number, since it uses less digits than its factorization.

933424909424339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13323982.

The product of its (nonzero) digits is 544195584, while the sum is 68.

The spelling of 933424909424339 in words is "nine hundred thirty-three trillion, four hundred twenty-four billion, nine hundred nine million, four hundred twenty-four thousand, three hundred thirty-nine".

Divisors: 1 47 137 6439 10889 511783 1491793 13312909 70114271 625706723 1823868533 85721821051 144964266101 6813320506747 19860104455837 933424909424339