Search a number
-
+
13505544546 = 2313199793949
BaseRepresentation
bin11001001001111111…
…00100000101100010
31021212020001202012120
430210333210011202
5210124404411141
610112050405110
7655452143304
oct144477440542
937766052176
1013505544546
11580058956a
12274ab90796
1313730486a0
14921965974
15540a12c66
hex324fe4162

13505544546 has 64 divisors (see below), whose sum is σ = 30935856000. Its totient is φ = 3896211456.

The previous prime is 13505544523. The next prime is 13505544551. The reversal of 13505544546 is 64544550531.

It is a super-2 number, since 2×135055445462 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13505544498 and 13505544507.

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, 96780 + ... + 190728.

It is an arithmetic number, because the mean of its divisors is an integer number (483372750).

Almost surely, 213505544546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13505544546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467928000).

13505544546 is an abundant number, since it is smaller than the sum of its proper divisors (17430311454).

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

13505544546 is a wasteful number, since it uses less digits than its factorization.

13505544546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94083.

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 13505544546 in words is "thirteen billion, five hundred five million, five hundred forty-four thousand, five hundred forty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 97 114 194 247 291 494 582 741 1261 1482 1843 2522 3686 3783 5529 7566 11058 23959 47918 71877 93949 143754 187898 281847 563694 1221337 1785031 2442674 3570062 3664011 5355093 7328022 9113053 10710186 18226106 23205403 27339159 46410806 54678318 69616209 118469689 139232418 173148007 236939378 346296014 355409067 519444021 710818134 1038888042 2250924091 4501848182 6752772273 13505544546