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2842135919 = 719471393271
BaseRepresentation
bin1010100101100111…
…1000110101101111
321100001222110112022
42221121320311233
521310041322134
61150004500355
7130300520360
oct25131706557
97301873468
102842135919
111229347867
126739aa6bb
13363a9103c
141cd671b67
151197ae52e
hexa9678d6f

2842135919 has 32 divisors (see below), whose sum is σ = 3518054400. Its totient is φ = 2241859680.

The previous prime is 2842135903. The next prime is 2842135931. The reversal of 2842135919 is 9195312482.

It is a cyclic number.

It is not a de Polignac number, because 2842135919 - 24 = 2842135903 is a prime.

It is a super-2 number, since 2×28421359192 = 16155473164139949122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2842135919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842135969) 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 in 31 ways as a sum of consecutive naturals, for example, 867254 + ... + 870524.

It is an arithmetic number, because the mean of its divisors is an integer number (109939200).

Almost surely, 22842135919 is an apocalyptic number.

2842135919 is a deficient number, since it is larger than the sum of its proper divisors (675918481).

2842135919 is a wasteful number, since it uses less digits than its factorization.

2842135919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483.

The product of its digits is 155520, while the sum is 44.

The square root of 2842135919 is about 53311.6865143094. The cubic root of 2842135919 is about 1416.4946800086.

The spelling of 2842135919 in words is "two billion, eight hundred forty-two million, one hundred thirty-five thousand, nine hundred nineteen".

Divisors: 1 7 19 47 133 139 329 893 973 2641 3271 6251 6533 18487 22897 45731 62149 124127 153737 435043 454669 868889 1076159 2921003 3182683 8638711 20447021 21369443 60470977 149586101 406019417 2842135919