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966431134669 = 73111319703381
BaseRepresentation
bin11100001000000111100…
…10001101001111001101
310102101112020200101020111
432010003302031033031
5111313222332302134
62015550005120021
7126552031051000
oct16040362151715
93371466611214
10966431134669
113429521a9590
121373739b9011
1370198704c10
1434ac0035537
151a21467ac64
hexe103c8d3cd

966431134669 has 32 divisors (see below), whose sum is σ = 1324067270400. Its totient is φ = 695135246400.

The previous prime is 966431134663. The next prime is 966431134673.

966431134669 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 966431134669 - 25 = 966431134637 is a prime.

It is a super-2 number, since 2×9664311346692 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966431134663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9802642 + ... + 9900739.

It is an arithmetic number, because the mean of its divisors is an integer number (41377102200).

Almost surely, 2966431134669 is an apocalyptic number.

It is an amenable number.

966431134669 is a deficient number, since it is larger than the sum of its proper divisors (357636135731).

966431134669 is a wasteful number, since it uses less digits than its factorization.

966431134669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19703426 (or 19703412 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 58.

The spelling of 966431134669 in words is "nine hundred sixty-six billion, four hundred thirty-one million, one hundred thirty-four thousand, six hundred sixty-nine".

Divisors: 1 7 11 13 49 77 91 143 343 539 637 1001 3773 4459 7007 49049 19703381 137923667 216737191 256143953 965465669 1517160337 1793007671 2817583483 6758259683 10620122359 12551053697 19723084381 74340856513 87857375879 138061590667 966431134669