Search a number
-
+
9718413919 = 1711317329243
BaseRepresentation
bin10010000110100001…
…10011101001011111
3221002021220120122021
421003100303221133
5124400403221134
64244203201011
7462555104164
oct110320635137
927067816567
109718413919
114137878245
121a72816167
13bbb568ba6
146829c406b
153bd2da0b4
hex243433a5f

9718413919 has 16 divisors (see below), whose sum is σ = 10441511712. Its totient is φ = 9013086208.

The previous prime is 9718413889. The next prime is 9718413937. The reversal of 9718413919 is 9193148179.

9718413919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9718413919 - 27 = 9718413791 is a prime.

It is a super-2 number, since 2×97184139192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

9718413919 is a modest number, since divided by 413919 gives 9718 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9718413959) 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 15 ways as a sum of consecutive naturals, for example, 317712 + ... + 346954.

It is an arithmetic number, because the mean of its divisors is an integer number (652594482).

Almost surely, 29718413919 is an apocalyptic number.

9718413919 is a deficient number, since it is larger than the sum of its proper divisors (723097793).

9718413919 is a wasteful number, since it uses less digits than its factorization.

9718413919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29546.

The product of its digits is 489888, while the sum is 52.

The square root of 9718413919 is about 98582.0162047825. The cubic root of 9718413919 is about 2134.0198957028.

The spelling of 9718413919 in words is "nine billion, seven hundred eighteen million, four hundred thirteen thousand, nine hundred nineteen".

Divisors: 1 17 113 173 1921 2941 19549 29243 332333 497131 3304459 5059039 56175803 86003663 571671407 9718413919