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666431464154313 = 311131823852141139
BaseRepresentation
bin1001011110000111011010101…
…0101100000010010011001001
310020101122020002120202021002010
42113201312222230002103021
51144322303114310414223
610321214215500130133
7260242040641561314
oct22741665254022311
93211566076667063
10666431464154313
11183388aa6756710
12628b2a70b36949
13227b22a986c910
14ba7d65261397b
15520a629a44393
hex25e1daab024c9

666431464154313 has 32 divisors (see below), whose sum is σ = 1044493255249920. Its totient is φ = 372624276824640.

The previous prime is 666431464154299. The next prime is 666431464154341. The reversal of 666431464154313 is 313451464134666.

It is a happy number.

It is not a de Polignac number, because 666431464154313 - 212 = 666431464150217 is a prime.

It is a super-2 number, since 2×6664314641543132 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (666431464154363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 425288503 + ... + 426852636.

It is an arithmetic number, because the mean of its divisors is an integer number (32640414226560).

Almost surely, 2666431464154313 is an apocalyptic number.

It is an amenable number.

666431464154313 is a deficient number, since it is larger than the sum of its proper divisors (378061791095607).

666431464154313 is a wasteful number, since it uses less digits than its factorization.

666431464154313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852142989.

The product of its digits is 44789760, while the sum is 57.

The spelling of 666431464154313 in words is "six hundred sixty-six trillion, four hundred thirty-one billion, four hundred sixty-four million, one hundred fifty-four thousand, three hundred thirteen".

Divisors: 1 3 11 13 33 39 143 429 1823 5469 20053 23699 60159 71097 260689 782067 852141139 2556423417 9373552529 11077834807 28120657587 33233504421 121856182877 365568548631 1553453296397 4660359889191 17087986260367 20194892853161 51263958781101 60584678559483 222143821384771 666431464154313