Search a number
-
+
13385945454 = 2372916765809
BaseRepresentation
bin11000111011101110…
…10101000101101110
31021112220000111002120
430131313111011232
5204403300223304
610052135133410
7652500442020
oct143567250556
937486014076
1013385945454
11574a020a42
122716b14266
1313543320ab
1490db12010
1553528b0d9
hex31ddd516e

13385945454 has 64 divisors (see below), whose sum is σ = 31841510400. Its totient is φ = 3670507008.

The previous prime is 13385945449. The next prime is 13385945471. The reversal of 13385945454 is 45454958331.

It is a super-2 number, since 2×133859454542 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13385945397 and 13385945406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170502 + ... + 236310.

It is an arithmetic number, because the mean of its divisors is an integer number (497523600).

Almost surely, 213385945454 is an apocalyptic number.

13385945454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13385945454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920755200).

13385945454 is an abundant number, since it is smaller than the sum of its proper divisors (18455564946).

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

13385945454 is a wasteful number, since it uses less digits than its factorization.

13385945454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66017.

The product of its digits is 5184000, while the sum is 51.

The spelling of 13385945454 in words is "thirteen billion, three hundred eighty-five million, nine hundred forty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 167 174 203 334 406 501 609 1002 1169 1218 2338 3507 4843 7014 9686 14529 29058 33901 65809 67802 101703 131618 197427 203406 394854 460663 921326 1381989 1908461 2763978 3816922 5725383 10990103 11450766 13359227 21980206 26718454 32970309 40077681 65940618 76930721 80155362 153861442 230792163 318712987 461584326 637425974 956138961 1912277922 2230990909 4461981818 6692972727 13385945454