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2792724013 is a prime number
BaseRepresentation
bin1010011001110101…
…1001011000101101
321012122000002010201
42212131121120231
521204414132023
61141041433501
7126130522342
oct24635313055
97178002121
102792724013
111203468982
1265b33b891
13356780521
141c6c8c7c9
1511529dbad
hexa675962d

2792724013 has 2 divisors, whose sum is σ = 2792724014. Its totient is φ = 2792724012.

The previous prime is 2792723981. The next prime is 2792724017. The reversal of 2792724013 is 3104272972.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2697036489 + 95687524 = 51933^2 + 9782^2 .

It is a cyclic number.

It is not a de Polignac number, because 2792724013 - 25 = 2792723981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2792724017) 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 as a sum of consecutive naturals, namely, 1396362006 + 1396362007.

It is an arithmetic number, because the mean of its divisors is an integer number (1396362007).

Almost surely, 22792724013 is an apocalyptic number.

It is an amenable number.

2792724013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2792724013 is an equidigital number, since it uses as much as digits as its factorization.

2792724013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 2792724013 is about 52846.2298844487. The cubic root of 2792724013 is about 1408.2378289620.

Adding to 2792724013 its reverse (3104272972), we get a palindrome (5896996985).

The spelling of 2792724013 in words is "two billion, seven hundred ninety-two million, seven hundred twenty-four thousand, thirteen".