Search a number
-
+
13242758208 = 263233781049
BaseRepresentation
bin11000101010101010…
…00111010001000000
31021011220120211010020
430111111013101000
5204110121230313
610030022133440
7646111405341
oct142525072100
937156524106
1013242758208
115686212279
122696b81280
13133077a104
148d8abc0c8
15527905323
hex315547440

13242758208 has 112 divisors (see below), whose sum is σ = 37550140800. Its totient is φ = 4108161024.

The previous prime is 13242758197. The next prime is 13242758233. The reversal of 13242758208 is 80285724231.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13242758208.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122868 + ... + 203916.

Almost surely, 213242758208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242758208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775070400).

13242758208 is an abundant number, since it is smaller than the sum of its proper divisors (24307382592).

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

13242758208 is a wasteful number, since it uses less digits than its factorization.

13242758208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81124 (or 81114 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 13242758208 in words is "thirteen billion, two hundred forty-two million, seven hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 138 148 184 192 222 276 296 368 444 552 592 736 851 888 1104 1184 1472 1702 1776 2208 2368 2553 3404 3552 4416 5106 6808 7104 10212 13616 20424 27232 40848 54464 81049 81696 162098 163392 243147 324196 486294 648392 972588 1296784 1864127 1945176 2593568 2998813 3728254 3890352 5187136 5592381 5997626 7456508 7780704 8996439 11184762 11995252 14913016 15561408 17992878 22369524 23990504 29826032 35985756 44739048 47981008 59652064 68972699 71971512 89478096 95962016 119304128 137945398 143943024 178956192 191924032 206918097 275890796 287886048 357912384 413836194 551781592 575772096 827672388 1103563184 1655344776 2207126368 3310689552 4414252736 6621379104 13242758208