Search a number
-
+
252335523245 = 513325789381
BaseRepresentation
bin1110101100000001011…
…1101000010110101101
3220010022200210201201012
43223000113220112231
513113240343220440
6311531001555005
724142052362301
oct3530027502655
9803280721635
10252335523245
1198018908453
1240aa27a5a65
131aa44bc1000
14c2daa89d01
15686cda5e65
hex3ac05e85ad

252335523245 has 32 divisors (see below), whose sum is σ = 329304739680. Its totient is φ = 185612943360.

The previous prime is 252335523239. The next prime is 252335523263. The reversal of 252335523245 is 542325533252.

252335523245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 246049729156 + 6285794089 = 496034^2 + 79283^2 .

It is not a de Polignac number, because 252335523245 - 24 = 252335523229 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2778455 + ... + 2867835.

It is an arithmetic number, because the mean of its divisors is an integer number (10290773115).

Almost surely, 2252335523245 is an apocalyptic number.

It is an amenable number.

252335523245 is a deficient number, since it is larger than the sum of its proper divisors (76969216435).

252335523245 is an equidigital number, since it uses as much as digits as its factorization.

252335523245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89682 (or 89656 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 41.

The spelling of 252335523245 in words is "two hundred fifty-two billion, three hundred thirty-five million, five hundred twenty-three thousand, two hundred forty-five".

Divisors: 1 5 13 65 169 257 845 1285 2197 3341 10985 16705 43433 89381 217165 446905 564629 1161953 2823145 5809765 15105389 22970917 75526945 114854585 196370057 298621921 981850285 1493109605 3882084973 19410424865 50467104649 252335523245