Search a number
-
+
10706836878 = 2331713785133
BaseRepresentation
bin10011111100010110…
…10101110110001110
31000122011210200001000
421332023111312032
5133411422240003
64530232401130
7526216416603
oct117613256616
930564720030
1010706836878
1145a4804021
1220a98461a6
13101828174a
14737d9a6aa
15429e811a3
hex27e2d5d8e

10706836878 has 64 divisors (see below), whose sum is σ = 25376742720. Its totient is φ = 3334450176.

The previous prime is 10706836873. The next prime is 10706836909. The reversal of 10706836878 is 87863860701.

10706836878 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107068368782 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10706836873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83200 + ... + 168332.

It is an arithmetic number, because the mean of its divisors is an integer number (396511605).

Almost surely, 210706836878 is an apocalyptic number.

10706836878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10706836878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688371360).

10706836878 is an abundant number, since it is smaller than the sum of its proper divisors (14669905842).

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

10706836878 is a wasteful number, since it uses less digits than its factorization.

10706836878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85298 (or 85292 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10706836878 in words is "ten billion, seven hundred six million, eight hundred thirty-six thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 137 153 274 306 411 459 822 918 1233 2329 2466 3699 4658 6987 7398 13974 20961 41922 62883 85133 125766 170266 255399 510798 766197 1447261 1532394 2298591 2894522 4341783 4597182 8683566 11663221 13025349 23326442 26050698 34989663 39076047 69979326 78152094 104968989 198274757 209937978 314906967 396549514 594824271 629813934 1189648542 1784472813 3568945626 5353418439 10706836878