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966093973 = 13566913109
BaseRepresentation
bin111001100101010…
…110110010010101
32111022212122210021
4321211112302111
53434310001343
6235510425141
732640443335
oct7145266225
92438778707
10966093973
11456375779
1222b6621b1
131251c8350
14924430c5
1559c350ed
hex39956c95

966093973 has 8 divisors (see below), whose sum is σ = 1040671800. Its totient is φ = 891553728.

The previous prime is 966093949. The next prime is 966093983. The reversal of 966093973 is 379390669.

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 966090724 = 57^2 + 31082^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-966093973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 966093973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966093983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67143 + ... + 80251.

It is an arithmetic number, because the mean of its divisors is an integer number (130083975).

Almost surely, 2966093973 is an apocalyptic number.

It is an amenable number.

966093973 is a deficient number, since it is larger than the sum of its proper divisors (74577827).

966093973 is a wasteful number, since it uses less digits than its factorization.

966093973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18791.

The product of its (nonzero) digits is 1653372, while the sum is 52.

The square root of 966093973 is about 31082.0522649326. The cubic root of 966093973 is about 988.5677937046.

The spelling of 966093973 in words is "nine hundred sixty-six million, ninety-three thousand, nine hundred seventy-three".

Divisors: 1 13 5669 13109 73697 170417 74314921 966093973