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116993998017 = 32131922769941
BaseRepresentation
bin110110011110101100…
…0101011110011000001
3102011222111211212222200
41230331120223303001
53404100430414032
6125425111223413
711311135401141
oct1547530536301
9364874755880
10116993998017
1145687075366
121a811077b69
13b0564b0c80
14593c01a921
15309b12847c
hex1b3d62bcc1

116993998017 has 36 divisors (see below), whose sum is σ = 192073318164. Its totient is φ = 68207002560.

The previous prime is 116993997983. The next prime is 116993998049. The reversal of 116993998017 is 710899399611.

116993998017 is a `hidden beast` number, since 1 + 169 + 9 + 399 + 80 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68509921536 + 48484076481 = 261744^2 + 220191^2 .

It is not a de Polignac number, because 116993998017 - 27 = 116993997889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116993998417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1342734 + ... + 1427207.

It is an arithmetic number, because the mean of its divisors is an integer number (5335369949).

Almost surely, 2116993998017 is an apocalyptic number.

It is an amenable number.

116993998017 is a deficient number, since it is larger than the sum of its proper divisors (75079320147).

116993998017 is a wasteful number, since it uses less digits than its factorization.

116993998017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769998 (or 2769976 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 63.

The spelling of 116993998017 in words is "one hundred sixteen billion, nine hundred ninety-three million, nine hundred ninety-eight thousand, seventeen".

Divisors: 1 3 9 13 19 39 57 117 171 247 361 741 1083 2223 3249 4693 14079 42237 2769941 8309823 24929469 36009233 52628879 108027699 157886637 324083097 473659911 684175427 999948701 2052526281 2999846103 6157578843 8999538309 12999333113 38997999339 116993998017