Search a number
-
+
355485584553 = 31121019696031
BaseRepresentation
bin1010010110001001001…
…01111000110010101001
31020222120101211202201020
411023010211320302221
521311013302201203
6431150253443053
734453156420101
oct5130445706251
91228511752636
10355485584553
11127840388200
1258a8b4a0489
13276a3205a48
14132c4216201
1593a8927153
hex52c4978ca9

355485584553 has 24 divisors (see below), whose sum is σ = 526145480448. Its totient is φ = 213312660000.

The previous prime is 355485584527. The next prime is 355485584569.

355485584553 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 355485584553 - 25 = 355485584521 is a prime.

It is a super-2 number, since 2×3554855845532 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (355485584453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4811353 + ... + 4884678.

It is an arithmetic number, because the mean of its divisors is an integer number (21922728352).

Almost surely, 2355485584553 is an apocalyptic number.

355485584553 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

355485584553 is a deficient number, since it is larger than the sum of its proper divisors (170659895895).

355485584553 is a wasteful number, since it uses less digits than its factorization.

355485584553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9696157 (or 9696146 counting only the distinct ones).

The product of its digits is 144000000, while the sum is 60.

The spelling of 355485584553 in words is "three hundred fifty-five billion, four hundred eighty-five million, five hundred eighty-four thousand, five hundred fifty-three".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 12221 36663 9696031 29088093 106656341 319969023 979299131 1173219751 2937897393 3519659253 10772290441 32316871323 118495194851 355485584553