Search a number
-
+
10426699010 = 257135324079
BaseRepresentation
bin10011011010111101…
…01100110100000010
3222220122200012010102
421231132230310002
5132323213332020
64442344202402
7516245323250
oct115536546402
928818605112
1010426699010
114470666322
12202ba69402
13ca22193b0
1470cab75d0
15410597475
hex26d7acd02

10426699010 has 96 divisors (see below), whose sum is σ = 23548976640. Its totient is φ = 3236822784.

The previous prime is 10426699007. The next prime is 10426699013. The reversal of 10426699010 is 1099662401.

10426699010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10426699007) and next prime (10426699013).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10426699013) 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 47 ways as a sum of consecutive naturals, for example, 2554151 + ... + 2558229.

It is an arithmetic number, because the mean of its divisors is an integer number (245301840).

Almost surely, 210426699010 is an apocalyptic number.

10426699010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10426699010 is an abundant number, since it is smaller than the sum of its proper divisors (13122277630).

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

10426699010 is a wasteful number, since it uses less digits than its factorization.

10426699010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 10426699010 in words is "ten billion, four hundred twenty-six million, six hundred ninety-nine thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 53 65 70 91 106 130 182 265 371 455 530 689 742 910 1378 1855 2809 3445 3710 4079 4823 5618 6890 8158 9646 14045 19663 20395 24115 28090 28553 36517 39326 40790 48230 53027 57106 73034 98315 106054 142765 182585 196630 216187 255619 265135 285530 365170 371189 432374 511238 530270 742378 1080935 1278095 1513309 1855945 2161870 2556190 2810431 3026618 3711890 5620862 7566545 11457911 14052155 15133090 19673017 22915822 28104310 39346034 57289555 80205377 98365085 114579110 148952843 160410754 196730170 297905686 401026885 744764215 802053770 1042669901 1489528430 2085339802 5213349505 10426699010