Search a number
-
+
253332522045 = 3259758037233
BaseRepresentation
bin1110101111101111001…
…0111000010000111101
3220012220011211111221200
43223323302320100331
513122311111201140
6312213535050113
724205546623321
oct3537362702075
9805804744850
10253332522045
119848a6713a9
1241120670939
131ab7361a125
14c393255981
1568ca693030
hex3afbcb843d

253332522045 has 24 divisors (see below), whose sum is σ = 443636616696. Its totient is φ = 133717782528.

The previous prime is 253332522031. The next prime is 253332522049. The reversal of 253332522045 is 540225233352.

253332522045 is a `hidden beast` number, since 2 + 533 + 32 + 52 + 2 + 0 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1374703929 + 251957818116 = 37077^2 + 501954^2 .

It is not a de Polignac number, because 253332522045 - 28 = 253332521789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253332522049) 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 23 ways as a sum of consecutive naturals, for example, 29014252 + ... + 29022981.

It is an arithmetic number, because the mean of its divisors is an integer number (18484859029).

Almost surely, 2253332522045 is an apocalyptic number.

It is an amenable number.

253332522045 is a deficient number, since it is larger than the sum of its proper divisors (190304094651).

253332522045 is a wasteful number, since it uses less digits than its factorization.

253332522045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58037341 (or 58037338 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 253332522045 its reverse (540225233352), we get a palindrome (793557755397).

The spelling of 253332522045 in words is "two hundred fifty-three billion, three hundred thirty-two million, five hundred twenty-two thousand, forty-five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 58037233 174111699 290186165 522335097 870558495 2611675485 5629611601 16888834803 28148058005 50666504409 84444174015 253332522045