Search a number
-
+
10065606264 = 23377259199
BaseRepresentation
bin10010101111111010…
…01111011001111000
3221222111012210000000
421113331033121320
5131103243400024
64342444513000
7504302145600
oct112775173170
927874183000
1010065606264
1142a5854a6a
121b4ab4b760
13c4547b14c
146b6b5dc00
153dda1bcc9
hex257f4f678

10065606264 has 384 divisors, whose sum is σ = 33652800000. Its totient is φ = 2812936896.

The previous prime is 10065606253. The next prime is 10065606277. The reversal of 10065606264 is 46260656001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50580837 + ... + 50581035.

It is an arithmetic number, because the mean of its divisors is an integer number (87637500).

Almost surely, 210065606264 is an apocalyptic number.

10065606264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10065606264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826400000).

10065606264 is an abundant number, since it is smaller than the sum of its proper divisors (23587193736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10065606264 is an equidigital number, since it uses as much as digits as its factorization.

10065606264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10065606264 in words is "ten billion, sixty-five million, six hundred six thousand, two hundred sixty-four".