Search a number
-
+
10042968717 = 321378145149
BaseRepresentation
bin10010101101001101…
…11000101010001101
3221220220121200010100
421112212320222031
5131031444444332
64340315401313
7503605553115
oct112646705215
927826550110
1010042968717
114293aa3051
121b43453239
13c40883352
146b3b4a045
153dba4967c
hex2569b8a8d

10042968717 has 12 divisors (see below), whose sum is σ = 14612399100. Its totient is φ = 6646440768.

The previous prime is 10042968713. The next prime is 10042968751. The reversal of 10042968717 is 71786924001.

It is a happy number.

10042968717 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 2 ways, for example, as 8248090761 + 1794877956 = 90819^2 + 42366^2 .

It is not a de Polignac number, because 10042968717 - 22 = 10042968713 is a prime.

It is a super-2 number, since 2×100429687172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042968713) 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 11 ways as a sum of consecutive naturals, for example, 4071342 + ... + 4073807.

It is an arithmetic number, because the mean of its divisors is an integer number (1217699925).

Almost surely, 210042968717 is an apocalyptic number.

It is an amenable number.

10042968717 is a deficient number, since it is larger than the sum of its proper divisors (4569430383).

10042968717 is a wasteful number, since it uses less digits than its factorization.

10042968717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8145292 (or 8145289 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10042968717 in words is "ten billion, forty-two million, nine hundred sixty-eight thousand, seven hundred seventeen".

Divisors: 1 3 9 137 411 1233 8145149 24435447 73306341 1115885413 3347656239 10042968717