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2945015825 = 521716934093
BaseRepresentation
bin1010111110001001…
…0110000000010001
321121020120022020012
42233202112000101
522012411001300
61204121524305
7132660135653
oct25742260021
97536508205
102945015825
111281425a84
126a2343695
1337c1a261b
141dd1b26d3
15123832435
hexaf896011

2945015825 has 24 divisors (see below), whose sum is σ = 3869861688. Its totient is φ = 2215572480.

The previous prime is 2945015819. The next prime is 2945015833. The reversal of 2945015825 is 5285105492.

It is a Cunningham number, because it is equal to 542682+1.

It can be written as a sum of positive squares in 12 ways, for example, as 652138369 + 2292877456 = 25537^2 + 47884^2 .

It is not a de Polignac number, because 2945015825 - 24 = 2945015809 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717479 + ... + 721571.

It is an arithmetic number, because the mean of its divisors is an integer number (161244237).

Almost surely, 22945015825 is an apocalyptic number.

2945015825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2945015825 is a deficient number, since it is larger than the sum of its proper divisors (924845863).

2945015825 is a wasteful number, since it uses less digits than its factorization.

2945015825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The square root of 2945015825 is about 54268.0000092135. Note that the first 5 decimals coincide. The cubic root of 2945015825 is about 1433.3839731823.

The spelling of 2945015825 in words is "two billion, nine hundred forty-five million, fifteen thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 425 1693 4093 8465 20465 28781 42325 69581 102325 143905 347905 719525 1739525 6929449 34647245 117800633 173236225 589003165 2945015825