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116287677 = 33111273083
BaseRepresentation
bin1101110111001…
…10100010111101
322002211000201000
412323212202331
5214232201202
615312240513
72611300062
oct673464275
9262730630
10116287677
115a706720
1232b40139
131b12729c
1411630c69
15a32091c
hex6ee68bd

116287677 has 32 divisors (see below), whose sum is σ = 189480960. Its totient is φ = 69899760.

The previous prime is 116287669. The next prime is 116287687. The reversal of 116287677 is 776782611.

116287677 is a `hidden beast` number, since 11 + 628 + 7 + 6 + 7 + 7 = 666.

It is not a de Polignac number, because 116287677 - 23 = 116287669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116287607) 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 31 ways as a sum of consecutive naturals, for example, 36178 + ... + 39260.

It is an arithmetic number, because the mean of its divisors is an integer number (5921280).

Almost surely, 2116287677 is an apocalyptic number.

It is an amenable number.

116287677 is a deficient number, since it is larger than the sum of its proper divisors (73193283).

116287677 is a wasteful number, since it uses less digits than its factorization.

116287677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3224 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 116287677 is about 10783.6764139138. The cubic root of 116287677 is about 488.1027243326.

It can be divided in two parts, 116287 and 677, that added together give a square (116964 = 3422).

The spelling of 116287677 in words is "one hundred sixteen million, two hundred eighty-seven thousand, six hundred seventy-seven".

Divisors: 1 3 9 11 27 33 99 127 297 381 1143 1397 3083 3429 4191 9249 12573 27747 33913 37719 83241 101739 305217 391541 915651 1174623 3523869 4306951 10571607 12920853 38762559 116287677