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11338082868 = 2237711901087
BaseRepresentation
bin10101000111100110…
…10110101000110100
31002021011121021202010
422203303112220310
5141210022122433
65113022244220
7550653054120
oct124363265064
932234537663
1011338082868
114899063522
122245126670
1310b8c9a498
14797b58580
154655c1e63
hex2a3cd6a34

11338082868 has 48 divisors (see below), whose sum is σ = 30660747264. Its totient is φ = 3193824480.

The previous prime is 11338082863. The next prime is 11338082869. The reversal of 11338082868 is 86828083311.

11338082868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11338082863) 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 in 15 ways as a sum of consecutive naturals, for example, 944580 + ... + 956507.

It is an arithmetic number, because the mean of its divisors is an integer number (638765568).

Almost surely, 211338082868 is an apocalyptic number.

It is an amenable number.

11338082868 is an abundant number, since it is smaller than the sum of its proper divisors (19322664396).

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

11338082868 is a wasteful number, since it uses less digits than its factorization.

11338082868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901172 (or 1901170 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 11338082868 in words is "eleven billion, three hundred thirty-eight million, eighty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 1901087 3802174 5703261 7604348 11406522 13307609 22813044 26615218 39922827 53230436 79845654 134977177 159691308 269954354 404931531 539908708 809863062 944840239 1619726124 1889680478 2834520717 3779360956 5669041434 11338082868