Search a number
-
+
243213533246256 = 243539715719313251
BaseRepresentation
bin110111010011001110010000…
…010000001111001100110000
31011220010222122022022011122020
4313103032100100033030300
5223334302304002340011
62221134431003511440
7102141412040313036
oct6723162020171460
91156128568264566
10243213533246256
117054a309a54531
12233404b4228580
13a592c2639cc11
14440b8525b0556
151d1b81eb0a006
hexdd339040f330

243213533246256 has 320 divisors, whose sum is σ = 651412767914496. Its totient is φ = 78155550720000.

The previous prime is 243213533246251. The next prime is 243213533246279. The reversal of 243213533246256 is 652642335312342.

It is a junction number, because it is equal to n+sod(n) for n = 243213533246199 and 243213533246208.

It is not an unprimeable number, because it can be changed into a prime (243213533246251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74811912631 + ... + 74811915881.

Almost surely, 2243213533246256 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 243213533246256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325706383957248).

243213533246256 is an abundant number, since it is smaller than the sum of its proper divisors (408199234668240).

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

243213533246256 is a wasteful number, since it uses less digits than its factorization.

243213533246256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5494 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 51.

Adding to 243213533246256 its reverse (652642335312342), we get a palindrome (895855868558598).

The spelling of 243213533246256 in words is "two hundred forty-three trillion, two hundred thirteen billion, five hundred thirty-three million, two hundred forty-six thousand, two hundred fifty-six".