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966629560393 = 72346712856339
BaseRepresentation
bin11100001000011111001…
…11001001000001001001
310102102001002001110011101
432010033213021001021
5111314124131413033
62020021414101401
7126556660460440
oct16041747110111
93372032043141
10966629560393
11342a44206792
1213740a34a861
13701ca85a7a3
1434adc527d57
151a226cc397d
hexe10f9c9049

966629560393 has 16 divisors (see below), whose sum is σ = 1155219287040. Its totient is φ = 790819063056.

The previous prime is 966629560343. The next prime is 966629560397. The reversal of 966629560393 is 393065926669.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-966629560393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (966629560397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6352983 + ... + 6503356.

It is an arithmetic number, because the mean of its divisors is an integer number (72201205440).

Almost surely, 2966629560393 is an apocalyptic number.

It is an amenable number.

966629560393 is a deficient number, since it is larger than the sum of its proper divisors (188589726647).

966629560393 is a wasteful number, since it uses less digits than its factorization.

966629560393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12856836.

The product of its (nonzero) digits is 85030560, while the sum is 64.

The spelling of 966629560393 in words is "nine hundred sixty-six billion, six hundred twenty-nine million, five hundred sixty thousand, three hundred ninety-three".

Divisors: 1 7 23 161 467 3269 10741 75187 12856339 89994373 295695797 2069870579 6003910313 42027372191 138089937199 966629560393