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997116093 = 32110790677
BaseRepresentation
bin111011011011101…
…100100010111101
32120111020202010200
4323123230202331
54020230203333
6242535354113
733465230001
oct7333544275
92514222120
10997116093
11471934096
12239b22939
1312b76a62c
14965da701
155c811c13
hex3b6ec8bd

997116093 has 6 divisors (see below), whose sum is σ = 1440278814. Its totient is φ = 664744056.

The previous prime is 997116061. The next prime is 997116103. The reversal of 997116093 is 390611799.

It can be written as a sum of positive squares in only one way, i.e., 690796089 + 306320004 = 26283^2 + 17502^2 .

It is not a de Polignac number, because 997116093 - 25 = 997116061 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997116013) 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 5 ways as a sum of consecutive naturals, for example, 55395330 + ... + 55395347.

It is an arithmetic number, because the mean of its divisors is an integer number (240046469).

Almost surely, 2997116093 is an apocalyptic number.

It is an amenable number.

997116093 is a deficient number, since it is larger than the sum of its proper divisors (443162721).

997116093 is a wasteful number, since it uses less digits than its factorization.

997116093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110790683 (or 110790680 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 997116093 is about 31577.1451052814. The cubic root of 997116093 is about 999.0377720811.

The spelling of 997116093 in words is "nine hundred ninety-seven million, one hundred sixteen thousand, ninety-three".

Divisors: 1 3 9 110790677 332372031 997116093