Search a number
-
+
9968014013 = 411931259701
BaseRepresentation
bin10010100100010001…
…11101001010111101
3221201200120120121012
421102020331022331
5130403302422023
64325041045005
7502005502226
oct112210751275
927650516535
109968014013
114255758511
121b22326765
13c2b19b559
146a7bd824d
153d5190978
hex25223d2bd

9968014013 has 8 divisors (see below), whose sum is σ = 10264051896. Its totient is φ = 9674496000.

The previous prime is 9968013989. The next prime is 9968014031. The reversal of 9968014013 is 3104108699.

9968014013 = 705972 + 705982.

9968014013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24334489 + 9943679524 = 4933^2 + 99718^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9968014013 - 214 = 9967997629 is a prime.

It is a super-2 number, since 2×99680140132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968014313) 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 7 ways as a sum of consecutive naturals, for example, 621938 + ... + 637763.

It is an arithmetic number, because the mean of its divisors is an integer number (1283006487).

Almost surely, 29968014013 is an apocalyptic number.

9968014013 is the 70598-th centered square number.

It is an amenable number.

9968014013 is a deficient number, since it is larger than the sum of its proper divisors (296037883).

9968014013 is a wasteful number, since it uses less digits than its factorization.

9968014013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259935.

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 9968014013 is about 99839.9419721386. The cubic root of 9968014013 is about 2152.1351792160.

The spelling of 9968014013 in words is "nine billion, nine hundred sixty-eight million, fourteen thousand, thirteen".

Divisors: 1 41 193 7913 1259701 51647741 243122293 9968014013