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993117161 = 2383673773
BaseRepresentation
bin111011001100011…
…100001111101001
32120012201120122002
4323030130033221
54013214222121
6242313540345
733416233211
oct7314341751
92505646562
10993117161
1146a652693
122387146b5
1312a99a3ba
1495c79241
155c2c1e0b
hex3b31c3e9

993117161 has 16 divisors (see below), whose sum is σ = 1051698816. Its totient is φ = 935886336.

The previous prime is 993117131. The next prime is 993117187. The reversal of 993117161 is 161711399.

It is a cyclic number.

It is not a de Polignac number, because 993117161 - 214 = 993100777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993117131) 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, 1284371 + ... + 1285143.

It is an arithmetic number, because the mean of its divisors is an integer number (65731176).

Almost surely, 2993117161 is an apocalyptic number.

It is an amenable number.

993117161 is a deficient number, since it is larger than the sum of its proper divisors (58581655).

993117161 is a wasteful number, since it uses less digits than its factorization.

993117161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552.

The product of its digits is 10206, while the sum is 38.

The square root of 993117161 is about 31513.7614543234. The cubic root of 993117161 is about 997.7004363939.

The spelling of 993117161 in words is "nine hundred ninety-three million, one hundred seventeen thousand, one hundred sixty-one".

Divisors: 1 23 83 673 773 1909 15479 17779 55859 64159 520229 1284757 1475657 11965267 43179007 993117161