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2085368193 = 33711087829
BaseRepresentation
bin111110001001100…
…0011000110000001
312101022222200101000
41330103003012001
513232323240233
6542532402213
7102451223436
oct17423030601
95338880330
102085368193
11980154a97
124a2476369
13273066c9c
1415ad5bb8d
15c3126d13
hex7c4c3181

2085368193 has 16 divisors (see below), whose sum is σ = 3132950400. Its totient is φ = 1370663280.

The previous prime is 2085368191. The next prime is 2085368213. The reversal of 2085368193 is 3918635802.

It is a happy number.

2085368193 is a `hidden beast` number, since 20 + 8 + 536 + 8 + 1 + 93 = 666.

It is not a de Polignac number, because 2085368193 - 21 = 2085368191 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2085368191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 541998 + ... + 545831.

It is an arithmetic number, because the mean of its divisors is an integer number (195809400).

Almost surely, 22085368193 is an apocalyptic number.

It is an amenable number.

2085368193 is a deficient number, since it is larger than the sum of its proper divisors (1047582207).

2085368193 is a wasteful number, since it uses less digits than its factorization.

2085368193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087909 (or 1087903 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2085368193 is about 45665.8317892054. The cubic root of 2085368193 is about 1277.5980739220.

The spelling of 2085368193 in words is "two billion, eighty-five million, three hundred sixty-eight thousand, one hundred ninety-three".

Divisors: 1 3 9 27 71 213 639 1917 1087829 3263487 9790461 29371383 77235859 231707577 695122731 2085368193