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2641463041 = 72371937549
BaseRepresentation
bin1001110101110001…
…1000011100000001
320211002101020002111
42131130120130001
520402203304131
61114035415321
7122313031300
oct23534303401
96732336074
102641463041
111136045308
12618754541
1333132c6a9
141b0b56437
15106d70ab1
hex9d718701

2641463041 has 24 divisors (see below), whose sum is σ = 3172540200. Its totient is φ = 2191214592.

The previous prime is 2641463029. The next prime is 2641463063. The reversal of 2641463041 is 1403641462.

It can be written as a sum of positive squares in 4 ways, for example, as 1015760641 + 1625702400 = 31871^2 + 40320^2 .

It is not a de Polignac number, because 2641463041 - 227 = 2507245313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2641462994 and 2641463012.

It is not an unprimeable number, because it can be changed into a prime (2641463021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346135 + ... + 353683.

It is an arithmetic number, because the mean of its divisors is an integer number (132189175).

Almost surely, 22641463041 is an apocalyptic number.

It is an amenable number.

2641463041 is a deficient number, since it is larger than the sum of its proper divisors (531077159).

2641463041 is a wasteful number, since it uses less digits than its factorization.

2641463041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2641463041 is about 51395.1655411285. The cubic root of 2641463041 is about 1382.3399077560.

The spelling of 2641463041 in words is "two billion, six hundred forty-one million, four hundred sixty-three thousand, forty-one".

Divisors: 1 7 37 49 193 259 1351 1813 7141 7549 9457 49987 52843 279313 349909 369901 1456957 1955191 10198699 13686337 53907409 71390893 377351863 2641463041