Search a number
-
+
13550212064 = 2519612831291
BaseRepresentation
bin11001001111010011…
…11101001111100000
31021222100010002112002
430213221331033200
5210222323241224
610120324023132
7656533621304
oct144751751740
937870102462
1013550212064
115823817974
122761b31aa8
13137c38787c
14927871d04
155448d79ae
hex327a7d3e0

13550212064 has 96 divisors (see below), whose sum is σ = 28664415360. Its totient is φ = 6286118400.

The previous prime is 13550212063. The next prime is 13550212069. The reversal of 13550212064 is 46021205531.

It is a super-2 number, since 2×135502120642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13550212063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10495259 + ... + 10496549.

It is an arithmetic number, because the mean of its divisors is an integer number (298587660).

Almost surely, 213550212064 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 13550212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14332207680).

13550212064 is an abundant number, since it is smaller than the sum of its proper divisors (15114203296).

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

13550212064 is a wasteful number, since it uses less digits than its factorization.

13550212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 13550212064 its reverse (46021205531), we get a palindrome (59571417595).

The spelling of 13550212064 in words is "thirteen billion, five hundred fifty million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 61 76 122 152 244 283 304 488 566 608 976 1132 1159 1291 1952 2264 2318 2582 4528 4636 5164 5377 9056 9272 10328 10754 17263 18544 20656 21508 24529 34526 37088 41312 43016 49058 69052 78751 86032 98116 138104 157502 172064 196232 276208 315004 327997 365353 392464 552416 630008 655994 730706 784928 1260016 1311988 1461412 1496269 2520032 2623976 2922824 2992538 5247952 5845648 5985076 6941707 10495904 11691296 11970152 13883414 22286533 23940304 27766828 44573066 47880608 55533656 89146132 111067312 178292264 222134624 356584528 423444127 713169056 846888254 1693776508 3387553016 6775106032 13550212064