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13907799306 = 23675712601
BaseRepresentation
bin11001111001111100…
…00010110100001010
31022220020222102000000
430330332002310022
5211440344034211
610220020223430
71001435225562
oct147476026412
938806872000
1013907799306
115997654515
12284183ab76
13140849935b
1495d155da2
15565ebe656
hex33cf82d0a

13907799306 has 56 divisors (see below), whose sum is σ = 31322044164. Its totient is φ = 4629441600.

The previous prime is 13907799293. The next prime is 13907799343. The reversal of 13907799306 is 60399770931.

13907799306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13902532281 + 5267025 = 117909^2 + 2295^2 .

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

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 1097406 + ... + 1110006.

Almost surely, 213907799306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13907799306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15661022082).

13907799306 is an abundant number, since it is smaller than the sum of its proper divisors (17414244858).

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

13907799306 is an equidigital number, since it uses as much as digits as its factorization.

13907799306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 54.

The spelling of 13907799306 in words is "thirteen billion, nine hundred seven million, seven hundred ninety-nine thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 757 1458 1514 2271 4542 6813 12601 13626 20439 25202 37803 40878 61317 75606 113409 122634 183951 226818 340227 367902 551853 680454 1020681 1103706 2041362 3062043 6124086 9186129 9538957 18372258 19077914 28616871 57233742 85850613 171701226 257551839 515103678 772655517 1545311034 2317966551 4635933102 6953899653 13907799306