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2053144345 = 57273114797
BaseRepresentation
bin111101001100000…
…0111111100011001
312022002100112120011
41322120013330121
513201101104340
6535422001521
7101610303400
oct17230077431
95262315504
102053144345
11963a4580a
124937162a1
13269493a15
14156970637
15c03ae0ea
hex7a607f19

2053144345 has 24 divisors (see below), whose sum is σ = 2905307784. Its totient is φ = 1388572416.

The previous prime is 2053144339. The next prime is 2053144391. The reversal of 2053144345 is 5434413502.

It can be written as a sum of positive squares in 4 ways, for example, as 18412681 + 2034731664 = 4291^2 + 45108^2 .

It is not a de Polignac number, because 2053144345 - 23 = 2053144337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39514 + ... + 75283.

It is an arithmetic number, because the mean of its divisors is an integer number (121054491).

Almost surely, 22053144345 is an apocalyptic number.

It is an amenable number.

2053144345 is a deficient number, since it is larger than the sum of its proper divisors (852163439).

2053144345 is a wasteful number, since it uses less digits than its factorization.

2053144345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114889 (or 114882 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 2053144345 is about 45311.6358676223. The cubic root of 2053144345 is about 1270.9832518242.

Adding to 2053144345 its reverse (5434413502), we get a palindrome (7487557847).

It can be divided in two parts, 2053144 and 345, that added together give a square (2053489 = 14332).

The spelling of 2053144345 in words is "two billion, fifty-three million, one hundred forty-four thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 73 245 365 511 2555 3577 17885 114797 573985 803579 4017895 5625053 8380181 28125265 41900905 58661267 293306335 410628869 2053144345