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5181916131 = 327434918913
BaseRepresentation
bin1001101001101110…
…11100001111100011
3111101010200121120200
410310313130033203
541103032304011
62214110240243
7242261363130
oct46467341743
914333617520
105181916131
11221a069317
1210074b6083
13647753982
143722d7587
15204ddc856
hex134ddc3e3

5181916131 has 24 divisors (see below), whose sum is σ = 8556693600. Its totient is φ = 2960257536.

The previous prime is 5181916121. The next prime is 5181916163. The reversal of 5181916131 is 1316191815.

5181916131 is a `hidden beast` number, since 518 + 1 + 9 + 1 + 6 + 131 = 666.

It is not a de Polignac number, because 5181916131 - 25 = 5181916099 is a prime.

It is a super-2 number, since 2×51819161312 = 53704509577436018322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5181916121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264531 + ... + 283443.

It is an arithmetic number, because the mean of its divisors is an integer number (356528900).

Almost surely, 25181916131 is an apocalyptic number.

5181916131 is a deficient number, since it is larger than the sum of its proper divisors (3374777469).

5181916131 is a wasteful number, since it uses less digits than its factorization.

5181916131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23275 (or 23272 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 5181916131 is about 71985.5272329098. The cubic root of 5181916131 is about 1730.4675505747.

The spelling of 5181916131 in words is "five billion, one hundred eighty-one million, nine hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 4349 13047 18913 30443 39141 56739 91329 132391 170217 273987 397173 1191519 82252637 246757911 575768459 740273733 1727305377 5181916131