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2742023813 is a prime number
BaseRepresentation
bin1010001101101111…
…1111011010000101
321002002121020112112
42203123333122011
521103424230223
61132031030405
7124643550344
oct24333773205
97062536475
102742023813
11118788a091
1264636b405
1334910b4c9
141c0251b5b
15110ad6778
hexa36ff685

2742023813 has 2 divisors, whose sum is σ = 2742023814. Its totient is φ = 2742023812.

The previous prime is 2742023759. The next prime is 2742023827. The reversal of 2742023813 is 3183202472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1397114884 + 1344908929 = 37378^2 + 36673^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742023813 - 218 = 2741761669 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2742023813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2742023113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1371011906 + 1371011907.

It is an arithmetic number, because the mean of its divisors is an integer number (1371011907).

Almost surely, 22742023813 is an apocalyptic number.

It is an amenable number.

2742023813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742023813 is an equidigital number, since it uses as much as digits as its factorization.

2742023813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2742023813 is about 52364.3372248709. The cubic root of 2742023813 is about 1399.6638330618.

The spelling of 2742023813 in words is "two billion, seven hundred forty-two million, twenty-three thousand, eight hundred thirteen".