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2083864919 = 19229316421
BaseRepresentation
bin111110000110101…
…0100000101010111
312101020011022021012
41330031110011113
513231432134134
6542440242435
7102432362633
oct17415240527
95336138235
102083864919
1197a318614
124a1a7041b
1327295b986
1415aa89dc3
15c2e2b6ce
hex7c354157

2083864919 has 24 divisors (see below), whose sum is σ = 2348910720. Its totient is φ = 1844337600.

The previous prime is 2083864903. The next prime is 2083864921. The reversal of 2083864919 is 9194683802.

It is a happy number.

It is not a de Polignac number, because 2083864919 - 24 = 2083864903 is a prime.

It is a super-2 number, since 2×20838649192 = 8684986001277753122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083864949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321329 + ... + 327749.

It is an arithmetic number, because the mean of its divisors is an integer number (97871280).

Almost surely, 22083864919 is an apocalyptic number.

2083864919 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2083864919 is a deficient number, since it is larger than the sum of its proper divisors (265045801).

2083864919 is a wasteful number, since it uses less digits than its factorization.

2083864919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 2083864919 is about 45649.3693165634. The cubic root of 2083864919 is about 1277.2910071807.

The spelling of 2083864919 in words is "two billion, eighty-three million, eight hundred sixty-four thousand, nine hundred nineteen".

Divisors: 1 19 29 31 361 551 589 899 6421 10469 11191 17081 121999 186209 199051 324539 2317981 3537971 3781969 5772479 67221449 71857411 109677101 2083864919