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2133953991 = 34134347129
BaseRepresentation
bin111111100110001…
…1000110111000111
312111201102002120000
41333030120313013
513332243011431
6551430012343
7103611211131
oct17714306707
95451362500
102133953991
119a561a244
124b67a70b3
13280148790
141635a8051
15c75229e6
hex7f318dc7

2133953991 has 40 divisors (see below), whose sum is σ = 3512881680. Its totient is φ = 1282635648.

The previous prime is 2133953989. The next prime is 2133954023. The reversal of 2133953991 is 1993593312.

It is a happy number.

2133953991 is a `hidden beast` number, since 21 + 3 + 3 + 9 + 539 + 91 = 666.

It is not a de Polignac number, because 2133953991 - 21 = 2133953989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133953791) 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 39 ways as a sum of consecutive naturals, for example, 21715 + ... + 68843.

It is an arithmetic number, because the mean of its divisors is an integer number (87822042).

Almost surely, 22133953991 is an apocalyptic number.

2133953991 is a deficient number, since it is larger than the sum of its proper divisors (1378927689).

2133953991 is a wasteful number, since it uses less digits than its factorization.

2133953991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47197 (or 47188 counting only the distinct ones).

The product of its digits is 196830, while the sum is 45.

The square root of 2133953991 is about 46194.7398628892. The cubic root of 2133953991 is about 1287.4440087003. Note that the first 3 decimals are identical.

The spelling of 2133953991 in words is "two billion, one hundred thirty-three million, nine hundred fifty-three thousand, nine hundred ninety-one".

Divisors: 1 3 9 13 27 39 43 81 117 129 351 387 559 1053 1161 1677 3483 5031 15093 45279 47129 141387 424161 612677 1272483 1838031 2026547 3817449 5514093 6079641 16542279 18238923 26345111 49626837 54716769 79035333 164150307 237105999 711317997 2133953991