Search a number
-
+
13009503468 = 22313391121323
BaseRepresentation
bin11000001110110110…
…10100010011101100
31020120122200020202210
430013123110103230
5203120413102333
65550530450420
7640246645353
oct140733242354
936518606683
1013009503468
115576586565
122630a33a10
1312c434b560
148b5b2099a
155121cca63
hex3076d44ec

13009503468 has 48 divisors (see below), whose sum is σ = 32700439296. Its totient is φ = 4001712960.

The previous prime is 13009503467. The next prime is 13009503473. The reversal of 13009503468 is 86430590031.

13009503468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13009503467) 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 15 ways as a sum of consecutive naturals, for example, 599455 + ... + 620777.

It is an arithmetic number, because the mean of its divisors is an integer number (681259152).

Almost surely, 213009503468 is an apocalyptic number.

It is an amenable number.

13009503468 is an abundant number, since it is smaller than the sum of its proper divisors (19690935828).

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

13009503468 is a wasteful number, since it uses less digits than its factorization.

13009503468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25254 (or 25252 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 13009503468 in words is "thirteen billion, nine million, five hundred three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 3911 7822 11733 15644 21323 23466 42646 46932 50843 63969 85292 101686 127938 152529 203372 255876 277199 305058 554398 610116 831597 1108796 1663194 3326388 83394253 166788506 250182759 333577012 500365518 1000731036 1084125289 2168250578 3252375867 4336501156 6504751734 13009503468