Search a number
-
+
252523555253343 = 321150931081161233
BaseRepresentation
bin111001011010101100111000…
…110011101110110001011111
31020010010000102202012201220100
4321122230320303232301133
5231044321220121101333
62253023415245552143
7104122140051544353
oct7132547063566137
91203100382181810
10252523555253343
1173509702735140
12243a490b875653
13aab9b3b4b27ca
1446502c3449463
151e2dab574e213
hexe5ab38ceec5f

252523555253343 has 48 divisors (see below), whose sum is σ = 398712965957280. Its totient is φ = 152738040268800.

The previous prime is 252523555253327. The next prime is 252523555253377. The reversal of 252523555253343 is 343352555325252.

252523555253343 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 2 + 3 + 5 + 552 + 53 + 34 + 3 = 666.

It is not a de Polignac number, because 252523555253343 - 24 = 252523555253327 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252523555253343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252523555253323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566122055 + ... + 1566283287.

It is an arithmetic number, because the mean of its divisors is an integer number (8306520124110).

Almost surely, 2252523555253343 is an apocalyptic number.

252523555253343 is a deficient number, since it is larger than the sum of its proper divisors (146189410703937).

252523555253343 is a wasteful number, since it uses less digits than its factorization.

252523555253343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192840 (or 192837 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

The spelling of 252523555253343 in words is "two hundred fifty-two trillion, five hundred twenty-three billion, five hundred fifty-five million, two hundred fifty-three thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 99 509 1527 4581 5599 16797 31081 50391 93243 161233 279729 341891 483699 1025673 1451097 1773563 3077019 5320689 15820229 15962067 47460687 82067597 142382061 174022519 246202791 522067557 738608373 902743567 1566202671 2708230701 5011282873 8124692103 15033848619 45101545857 55124111603 165372334809 496117004427 2550742982357 7652228947071 22956686841213 28058172805927 84174518417781 252523555253343