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116945532729 = 34379972
BaseRepresentation
bin110110011101001111…
…1110011011100111001
3102011212010122121010000
41230322133303130321
53404001024021404
6125420220343213
711310006425004
oct1547237633471
9364763577100
10116945532729
1145661782703
121a7b89a4b09
13b04944229c
14593580253b
153096c53339
hex1b3a7f3739

116945532729 has 15 divisors (see below), whose sum is σ = 174701010847. Its totient is φ = 77961636648.

The previous prime is 116945532679. The next prime is 116945532731. The reversal of 116945532729 is 927235549611.

The square root of 116945532729 is 341973.

It is a perfect power (a square), and thus also a powerful number.

116945532729 is a `hidden beast` number, since 1 + 1 + 69 + 4 + 553 + 2 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112543475625 + 4402057104 = 335475^2 + 66348^2 .

It is not a de Polignac number, because 116945532729 - 27 = 116945532601 is a prime.

It is a super-2 number, since 2×1169455327292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116945532799) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3058759 + ... + 3096755.

Almost surely, 2116945532729 is an apocalyptic number.

116945532729 is the 341973-rd square number.

116945532729 is the 170987-th centered octagonal number.

It is an amenable number.

116945532729 is a deficient number, since it is larger than the sum of its proper divisors (57755478118).

116945532729 is an frugal number, since it uses more digits than its factorization.

116945532729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76006 (or 38000 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 116945532729 in words is "one hundred sixteen billion, nine hundred forty-five million, five hundred thirty-two thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 37997 113991 341973 1025919 3077757 1443772009 4331316027 12993948081 38981844243 116945532729