Search a number
-
+
242252755522063 = 11133194312269417
BaseRepresentation
bin110111000101001111011101…
…011100000101001000001111
31011202202010201001111210121221
4313011033131130011020033
5223223032120403201223
62215121213550504211
7102012120054356236
oct6705173534051017
91152663631453557
10242252755522063
11702098a8a80a10
1223206259805067
13a52344c003000
1443b714b327b1d
151d0183b953b5d
hexdc53dd70520f

242252755522063 has 64 divisors (see below), whose sum is σ = 308364828710400. Its totient is φ = 188110759898880.

The previous prime is 242252755522003. The next prime is 242252755522093. The reversal of 242252755522063 is 360225557252242.

It is not a de Polignac number, because 242252755522063 - 213 = 242252755513871 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242252755522063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242252755522003) 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, 13609731 + ... + 25879147.

It is an arithmetic number, because the mean of its divisors is an integer number (4818200448600).

Almost surely, 2242252755522063 is an apocalyptic number.

242252755522063 is a deficient number, since it is larger than the sum of its proper divisors (66112073188337).

242252755522063 is a wasteful number, since it uses less digits than its factorization.

242252755522063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12269529 (or 12269503 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 52.

The spelling of 242252755522063 in words is "two hundred forty-two trillion, two hundred fifty-two billion, seven hundred fifty-five million, five hundred twenty-two thousand, sixty-three".

Divisors: 1 11 13 19 43 143 169 209 247 473 559 817 1859 2197 2717 3211 6149 7267 8987 10621 24167 35321 41743 79937 94471 116831 138073 459173 1039181 1518803 1794949 12269417 19744439 134963587 159502421 233118923 527584931 1754526631 2073531473 2564308153 3030545999 5803434241 6858604103 10024113689 22808846203 26955909149 33336005989 39397097987 75444645133 89161853339 110265250579 130313477957 296515000639 433368077857 512162273831 980780386729 1159104093407 1433448257527 1694075213441 5633785012141 12750145027477 18634827347851 22022977774733 242252755522063