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13044429258 = 23736794603
BaseRepresentation
bin11000010011000001…
…00011000111001010
31020200002101122221120
430021200203013022
5203203333214013
65554215220110
7641152551000
oct141140430712
936602348846
1013044429258
115594270853
122640677636
1312cb6595c3
148ba612a70
155152cb123
hex3098231ca

13044429258 has 64 divisors (see below), whose sum is σ = 30878745600. Its totient is φ = 3671314416.

The previous prime is 13044429257. The next prime is 13044429263. The reversal of 13044429258 is 85292444031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13044429257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90585 + ... + 185187.

It is an arithmetic number, because the mean of its divisors is an integer number (482480400).

Almost surely, 213044429258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13044429258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439372800).

13044429258 is an abundant number, since it is smaller than the sum of its proper divisors (17834316342).

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

13044429258 is an equidigital number, since it uses as much as digits as its factorization.

13044429258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94696 (or 94682 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 13044429258 in words is "thirteen billion, forty-four million, four hundred twenty-nine thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 343 402 469 686 938 1029 1407 2058 2814 3283 6566 9849 19698 22981 45962 68943 94603 137886 189206 283809 567618 662221 1324442 1986663 3973326 4635547 6338401 9271094 12676802 13906641 19015203 27813282 32448829 38030406 44368807 64897658 88737614 97346487 133106421 194692974 266212842 310581649 621163298 931744947 1863489894 2174071543 4348143086 6522214629 13044429258