Search a number
-
+
217553420019 = 31319293594359
BaseRepresentation
bin1100101010011100110…
…0011011111011110011
3202210112200010210221210
43022213030123323303
512031022133420034
6243535340451203
721501114362445
oct3124714337363
9683480123853
10217553420019
118429a2634a1
12361b6249b03
1317690b7c640
14a75b4a0495
1559d45178e9
hex32a731bef3

217553420019 has 16 divisors (see below), whose sum is σ = 328825683200. Its totient is φ = 126832762656.

The previous prime is 217553419999. The next prime is 217553420033. The reversal of 217553420019 is 910024355712.

It is not a de Polignac number, because 217553420019 - 227 = 217419202291 is a prime.

It is a super-2 number, since 2×2175534200192 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217553420039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146796439 + ... + 146797920.

It is an arithmetic number, because the mean of its divisors is an integer number (20551605200).

Almost surely, 2217553420019 is an apocalyptic number.

217553420019 is a deficient number, since it is larger than the sum of its proper divisors (111272263181).

217553420019 is a wasteful number, since it uses less digits than its factorization.

217553420019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293594394.

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 217553420019 in words is "two hundred seventeen billion, five hundred fifty-three million, four hundred twenty thousand, nineteen".

Divisors: 1 3 13 19 39 57 247 741 293594359 880783077 3816726667 5578292821 11450180001 16734878463 72517806673 217553420019