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116642942721 = 32101409313741
BaseRepresentation
bin110110010100001110…
…1100000111100000001
3102011002001021102122200
41230220131200330001
53402341043131341
6125330211023413
711266343440254
oct1545035407401
9364061242580
10116642942721
114551699a318
121a73359ab69
13accb848646
14590755709b
15307a3d1db6
hex1b28760f01

116642942721 has 24 divisors (see below), whose sum is σ = 170568975720. Its totient is φ = 76803552000.

The previous prime is 116642942719. The next prime is 116642942737. The reversal of 116642942721 is 127249246611.

116642942721 is a `hidden beast` number, since 1 + 166 + 42 + 9 + 427 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92377092096 + 24265850625 = 303936^2 + 155775^2 .

It is not a de Polignac number, because 116642942721 - 21 = 116642942719 is a prime.

It is a super-2 number, since 2×1166429427212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116642942761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214911 + ... + 528651.

It is an arithmetic number, because the mean of its divisors is an integer number (7107040655).

Almost surely, 2116642942721 is an apocalyptic number.

It is an amenable number.

116642942721 is a deficient number, since it is larger than the sum of its proper divisors (53926032999).

116642942721 is a wasteful number, since it uses less digits than its factorization.

116642942721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314257 (or 314254 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 116642942721 in words is "one hundred sixteen billion, six hundred forty-two million, nine hundred forty-two thousand, seven hundred twenty-one".

Divisors: 1 3 9 101 303 409 909 1227 3681 41309 123927 313741 371781 941223 2823669 31687841 95063523 128320069 285190569 384960207 1154880621 12960326969 38880980907 116642942721