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245311444440025 = 52247320849190313
BaseRepresentation
bin110111110001110000000101…
…100000010101001111011001
31012011120112201100100000101021
4313301300011200111033121
5224123140314234040100
62225422304413322441
7102446111164243405
oct6761600540251731
91164515640300337
10245311444440025
1171188aaa148377
122361b002496421
13a6b5a01774bb2
1444811cc90a105
151d561a876ba1a
hexdf1c058153d9

245311444440025 has 24 divisors (see below), whose sum is σ = 304325388948600. Its totient is φ = 196159359037440.

The previous prime is 245311444439917. The next prime is 245311444440043. The reversal of 245311444440025 is 520044444113542.

It can be written as a sum of positive squares in 12 ways, for example, as 49492730501449 + 195818713938576 = 7035107^2 + 13993524^2 .

It is a de Polignac number, because none of the positive numbers 2k-245311444440025 is a prime.

It is an unprimeable number.

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, 1288894269 + ... + 1289084581.

It is an arithmetic number, because the mean of its divisors is an integer number (12680224539525).

Almost surely, 2245311444440025 is an apocalyptic number.

245311444440025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

245311444440025 is a deficient number, since it is larger than the sum of its proper divisors (59013944508575).

245311444440025 is a wasteful number, since it uses less digits than its factorization.

245311444440025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213645 (or 213640 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 43.

Adding to 245311444440025 its reverse (520044444113542), we get a palindrome (765355888553567).

The spelling of 245311444440025 in words is "two hundred forty-five trillion, three hundred eleven billion, four hundred forty-four million, four hundred forty thousand, twenty-five".

Divisors: 1 5 25 2473 12365 20849 61825 104245 190313 521225 951565 4757825 51559577 257797885 470644049 1288989425 2353220245 3967835737 11766101225 19839178685 99195893425 9812457777601 49062288888005 245311444440025