Search a number
-
+
13533233531 = 193373476091
BaseRepresentation
bin11001001101010010…
…01100000101111011
31021221011011111100112
430212221030011323
5210204001433111
610114520054535
7656236405226
oct144651140573
937834144315
1013533233531
115815180724
12275830444b
1313789c17bc
149254d25bd
15543181e8b
hex326a4c17b

13533233531 has 16 divisors (see below), whose sum is σ = 14331308160. Its totient is φ = 12743982720.

The previous prime is 13533233509. The next prime is 13533233543.

13533233531 is nontrivially palindromic in base 10.

13533233531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13533233531 is a prime.

It is a super-2 number, since 2×135332335312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13533233591) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2218796 + ... + 2224886.

It is an arithmetic number, because the mean of its divisors is an integer number (895706760).

Almost surely, 213533233531 is an apocalyptic number.

13533233531 is a deficient number, since it is larger than the sum of its proper divisors (798074629).

13533233531 is a wasteful number, since it uses less digits than its factorization.

13533233531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794.

The product of its digits is 36450, while the sum is 32.

The spelling of 13533233531 in words is "thirteen billion, five hundred thirty-three million, two hundred thirty-three thousand, five hundred thirty-one".

Divisors: 1 19 337 347 6091 6403 6593 115729 116939 2052667 2113577 2221841 39000673 40157963 712275449 13533233531