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2516240993 = 7251351857
BaseRepresentation
bin1001010111111010…
…1100101001100001
320111100202021201212
42111332230221201
520123124202433
61053403435505
7116232460400
oct22576545141
96440667655
102516240993
111081397112
125a2825b95
133113c78c6
1419c27b637
15ead87d48
hex95faca61

2516240993 has 6 divisors (see below), whose sum is σ = 2927055906. Its totient is φ = 2156777952.

The previous prime is 2516240989. The next prime is 2516241047. The reversal of 2516240993 is 3990426152.

It can be written as a sum of positive squares in only one way, i.e., 1549839424 + 966401569 = 39368^2 + 31087^2 .

It is not a de Polignac number, because 2516240993 - 22 = 2516240989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2516240993.

It is not an unprimeable number, because it can be changed into a prime (2516249993) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 25675880 + ... + 25675977.

It is an arithmetic number, because the mean of its divisors is an integer number (487842651).

Almost surely, 22516240993 is an apocalyptic number.

It is an amenable number.

2516240993 is a deficient number, since it is larger than the sum of its proper divisors (410814913).

2516240993 is an equidigital number, since it uses as much as digits as its factorization.

2516240993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51351871 (or 51351864 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 2516240993 is about 50162.1470134603. The cubic root of 2516240993 is about 1360.1414560548.

The spelling of 2516240993 in words is "two billion, five hundred sixteen million, two hundred forty thousand, nine hundred ninety-three".

Divisors: 1 7 49 51351857 359462999 2516240993