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5109106667 = 72536132251
BaseRepresentation
bin1001100001000011…
…01100011111101011
3111012001200111202212
410300201230133223
540430412403132
62202545515335
7240415455500
oct46041543753
914161614685
105109106667
112191a59505
12ba7042b4b
13635640452
143667834a7
151ed8095b2
hex13086c7eb

5109106667 has 24 divisors (see below), whose sum is σ = 6154842672. Its totient is φ = 4226040000.

The previous prime is 5109106603. The next prime is 5109106687. The reversal of 5109106667 is 7666019015.

It is not a de Polignac number, because 5109106667 - 26 = 5109106603 is a prime.

It is a super-2 number, since 2×51091066672 = 52205941869567697778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5109106687) 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 23 ways as a sum of consecutive naturals, for example, 142292 + ... + 174542.

It is an arithmetic number, because the mean of its divisors is an integer number (256451778).

Almost surely, 25109106667 is an apocalyptic number.

5109106667 is a deficient number, since it is larger than the sum of its proper divisors (1045736005).

5109106667 is a wasteful number, since it uses less digits than its factorization.

5109106667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32379 (or 32372 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 5109106667 is about 71478.0152704312. The cubic root of 5109106667 is about 1722.3245416903.

The spelling of 5109106667 in words is "five billion, one hundred nine million, one hundred six thousand, six hundred sixty-seven".

Divisors: 1 7 49 53 61 371 427 2597 2989 3233 22631 32251 158417 225757 1580299 1709303 1967311 11965121 13771177 83755847 96398239 104267483 729872381 5109106667