Search a number
-
+
244315985619552 = 2537311171032271697
BaseRepresentation
bin110111100011010000111111…
…100010010010101001100000
31012001001101021002221102002120
4313203100333202102221200
5224010333114304311202
62223341114144144240
7102314150611005000
oct6743207742225140
91161041232842076
10244315985619552
1170934911639910
122349a0a9308080
13a642b8b270542
144448d5764c000
151d3a345a2a0bc
hexde343f892a60

244315985619552 has 1536 divisors, whose sum is σ = 876637723852800. Its totient is φ = 58850715893760.

The previous prime is 244315985619527. The next prime is 244315985619553. The reversal of 244315985619552 is 255916589513442.

It is a super-2 number, since 2×2443159856195522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244315985619553) 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 255 ways as a sum of consecutive naturals, for example, 143969348368 + ... + 143969350064.

It is an arithmetic number, because the mean of its divisors is an integer number (570727684800).

Almost surely, 2244315985619552 is an apocalyptic number.

244315985619552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244315985619552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438318861926400).

244315985619552 is an abundant number, since it is smaller than the sum of its proper divisors (632321738233248).

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

244315985619552 is a wasteful number, since it uses less digits than its factorization.

244315985619552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2067 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 69.

The spelling of 244315985619552 in words is "two hundred forty-four trillion, three hundred fifteen billion, nine hundred eighty-five million, six hundred nineteen thousand, five hundred fifty-two".