Search a number
-
+
218135455337 = 2913797756197
BaseRepresentation
bin1100101100100111100…
…0101110011001101001
3202212001020100021022102
43023021320232121221
512033220134032322
6244113211503145
721521412530432
oct3131170563151
9685036307272
10218135455337
1184568861218
1236339157ab5
1317754628337
14a7b48cc489
155a1a687792
hex32c9e2e669

218135455337 has 16 divisors (see below), whose sum is σ = 227541206160. Its totient is φ = 208858503168.

The previous prime is 218135455297. The next prime is 218135455393. The reversal of 218135455337 is 733554531812.

It can be written as a sum of positive squares in 8 ways, for example, as 243484816 + 217891970521 = 15604^2 + 466789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218135455337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 218135455291 and 218135455300.

It is not an unprimeable number, because it can be changed into a prime (218135425337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3853523 + ... + 3909719.

It is an arithmetic number, because the mean of its divisors is an integer number (14221325385).

Almost surely, 2218135455337 is an apocalyptic number.

It is an amenable number.

218135455337 is a deficient number, since it is larger than the sum of its proper divisors (9405750823).

218135455337 is a wasteful number, since it uses less digits than its factorization.

218135455337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57340.

The product of its digits is 1512000, while the sum is 47.

The spelling of 218135455337 in words is "two hundred eighteen billion, one hundred thirty-five million, four hundred fifty-five thousand, three hundred thirty-seven".

Divisors: 1 29 137 977 3973 28333 56197 133849 1629713 3881621 7698989 54904469 223270681 1592229601 7521912253 218135455337