Search a number
-
+
232355505553232 = 2417854248182181
BaseRepresentation
bin110100110101001101111011…
…010111101011111101010000
31010110200222011200120221121112
4310311031323113223331100
5220423403033410200412
62142102351243312452
766641063014611005
oct6465157327537520
91113628150527545
10232355505553232
1168043464431126
122208807881b728
139c8605133a2c9
1441540d05938ac
151bce1773b4722
hexd3537b5ebf50

232355505553232 has 20 divisors (see below), whose sum is σ = 476670485657556. Its totient is φ = 109343767319040.

The previous prime is 232355505553219. The next prime is 232355505553267.

232355505553232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 96294105457936 + 136061400095296 = 9812956^2 + 11664536^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 427124090819 + ... + 427124091362.

Almost surely, 2232355505553232 is an apocalyptic number.

It is an amenable number.

232355505553232 is an abundant number, since it is smaller than the sum of its proper divisors (244314980104324).

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

232355505553232 is a wasteful number, since it uses less digits than its factorization.

232355505553232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854248182206 (or 854248182200 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 50.

It can be divided in two parts, 23235550 and 5553232, that added together give a palindrome (28788782).

The spelling of 232355505553232 in words is "two hundred thirty-two trillion, three hundred fifty-five billion, five hundred five million, five hundred fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 854248182181 1708496364362 3416992728724 6833985457448 13667970914896 14522219097077 29044438194154 58088876388308 116177752776616 232355505553232