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966693396669 = 371113437486261
BaseRepresentation
bin11100001000100110110…
…10101010000010111101
310102102012112011200001220
432010103122222002331
5111314242002143134
62020032014223553
7126561364203150
oct16042332520275
93372175150056
10966693396669
11342a77247940
121374277b4bb9
137020ab4b930
1434b06bc3c97
151a22c6d3149
hexe1136aa0bd

966693396669 has 64 divisors (see below), whose sum is σ = 1770830358528. Its totient is φ = 452769004800.

The previous prime is 966693396661. The next prime is 966693396671.

966693396669 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 966693396669 - 23 = 966693396661 is a prime.

It is a super-2 number, since 2×9666933966692 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 966693396594 and 966693396603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966693396661) 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 63 ways as a sum of consecutive naturals, for example, 3614002 + ... + 3872259.

It is an arithmetic number, because the mean of its divisors is an integer number (27669224352).

Almost surely, 2966693396669 is an apocalyptic number.

It is an amenable number.

966693396669 is a deficient number, since it is larger than the sum of its proper divisors (804136961859).

966693396669 is a wasteful number, since it uses less digits than its factorization.

966693396669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486338.

The product of its digits is 2754990144, while the sum is 78.

The spelling of 966693396669 in words is "nine hundred sixty-six billion, six hundred ninety-three million, three hundred ninety-six thousand, six hundred sixty-nine".

Divisors: 1 3 7 11 13 21 33 39 43 77 91 129 143 231 273 301 429 473 559 903 1001 1419 1677 3003 3311 3913 6149 9933 11739 18447 43043 129129 7486261 22458783 52403827 82348871 97321393 157211481 247046613 291964179 321909223 576442097 681249751 965727669 1070535323 1729326291 2043749253 2253364561 3211605969 3541001453 4184819899 6760093683 7493747261 10623004359 12554459697 22481241783 24787010171 29293739293 46033018889 74361030513 87881217879 138099056667 322231132223 966693396669