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2106863199 = 327316591637
BaseRepresentation
bin111110110010100…
…0010111001011111
312102211102201222100
41331211002321133
513303324110244
6545021220143
7103132020210
oct17545027137
95384381870
102106863199
119912a6561
124a9701653
13277651a1c
1415db55407
15c4e70b69
hex7d942e5f

2106863199 has 48 divisors (see below), whose sum is σ = 3597834240. Its totient is φ = 1162607040.

The previous prime is 2106863197. The next prime is 2106863207. The reversal of 2106863199 is 9913686012.

It is a happy number.

2106863199 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 8 + 631 + 9 + 9 = 666.

It is not a de Polignac number, because 2106863199 - 21 = 2106863197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106863197) 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 47 ways as a sum of consecutive naturals, for example, 1286209 + ... + 1287845.

It is an arithmetic number, because the mean of its divisors is an integer number (74954880).

Almost surely, 22106863199 is an apocalyptic number.

2106863199 is a deficient number, since it is larger than the sum of its proper divisors (1490971041).

2106863199 is a wasteful number, since it uses less digits than its factorization.

2106863199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2106863199 is about 45900.5795061457. The cubic root of 2106863199 is about 1281.9727066424.

The spelling of 2106863199 in words is "two billion, one hundred six million, eight hundred sixty-three thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 659 1637 1953 1977 4613 4911 5931 11459 13839 14733 20429 34377 41517 50747 61287 103131 143003 152241 183861 355229 429009 456723 1065687 1078783 1287027 3197061 3236349 7551481 9709047 22654443 33442273 67963329 100326819 234095911 300980457 702287733 2106863199