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2042120512 = 26171876949
BaseRepresentation
bin111100110111000…
…0100100101000000
312021022121110201001
41321232010211000
513140240324022
6534345421344
7101414511055
oct17156044500
95238543631
102042120512
119587a6403
1248ba9a854
13267104143
1415530102c
15be432b27
hex79b84940

2042120512 has 28 divisors (see below), whose sum is σ = 4290707700. Its totient is φ = 960997376.

The previous prime is 2042120491. The next prime is 2042120557. The reversal of 2042120512 is 2150212402.

It can be written as a sum of positive squares in 2 ways, for example, as 1917038656 + 125081856 = 43784^2 + 11184^2 .

It is a super-2 number, since 2×20421205122 = 8340512371062284288, 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 2042120512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 937387 + ... + 939562.

Almost surely, 22042120512 is an apocalyptic number.

It is an amenable number.

2042120512 is an abundant number, since it is smaller than the sum of its proper divisors (2248587188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2042120512 is a wasteful number, since it uses less digits than its factorization.

2042120512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876978 (or 1876968 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2042120512 is about 45189.8275278851. The cubic root of 2042120512 is about 1268.7044286834.

Adding to 2042120512 its reverse (2150212402), we get a palindrome (4192332914).

The spelling of 2042120512 in words is "two billion, forty-two million, one hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1876949 3753898 7507796 15015592 30031184 31908133 60062368 63816266 120124736 127632532 255265064 510530128 1021060256 2042120512