Search a number
-
+
13046627418 = 2311617334421
BaseRepresentation
bin11000010011010001…
…11011110001011010
31020200020112100020220
430021220323301122
5203204414034133
65554334300510
7641210334426
oct141150736132
936606470226
1013046627418
115595532310
122641357736
1312cbc48ca6
148baa25b86
155155b25b3
hex309a3bc5a

13046627418 has 64 divisors (see below), whose sum is σ = 28978038144. Its totient is φ = 3882528000.

The previous prime is 13046627383. The next prime is 13046627437. The reversal of 13046627418 is 81472664031.

13046627418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13046627418.

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 31 ways as a sum of consecutive naturals, for example, 2948848 + ... + 2953268.

It is an arithmetic number, because the mean of its divisors is an integer number (452781846).

Almost surely, 213046627418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13046627418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14489019072).

13046627418 is an abundant number, since it is smaller than the sum of its proper divisors (15931410726).

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

13046627418 is a wasteful number, since it uses less digits than its factorization.

13046627418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 13046627418 in words is "thirteen billion, forty-six million, six hundred twenty-seven thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 733 1342 1466 2013 2199 4026 4398 4421 8063 8842 13263 16126 24189 26526 44713 48378 48631 89426 97262 134139 145893 268278 269681 291786 491843 539362 809043 983686 1475529 1618086 2951058 2966491 3240593 5932982 6481186 8899473 9721779 17798946 19443558 35646523 71293046 106939569 197676173 213879138 395352346 593028519 1186057038 2174437903 4348875806 6523313709 13046627418