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2133975375 = 3453730109
BaseRepresentation
bin111111100110001…
…1110000101001111
312111201110011220000
41333030132011033
513332244203000
6551430255343
7103611330360
oct17714360517
95451404800
102133975375
119a5634314
124b67b7553
1328015542c
141635b1b67
15c7529000
hex7f31e14f

2133975375 has 80 divisors (see below), whose sum is σ = 4546850880. Its totient is φ = 975499200.

The previous prime is 2133975343. The next prime is 2133975377. The reversal of 2133975375 is 5735793312.

2133975375 is a `hidden beast` number, since 21 + 3 + 3 + 97 + 537 + 5 = 666.

It is not a de Polignac number, because 2133975375 - 25 = 2133975343 is a prime.

It is a super-2 number, since 2×21339753752 = 9107701802212781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2133975375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133975377) 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 79 ways as a sum of consecutive naturals, for example, 55821 + ... + 85929.

It is an arithmetic number, because the mean of its divisors is an integer number (56835636).

Almost surely, 22133975375 is an apocalyptic number.

2133975375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2133975375 is an abundant number, since it is smaller than the sum of its proper divisors (2412875505).

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

2133975375 is an equidigital number, since it uses as much as digits as its factorization.

2133975375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30143 (or 30124 counting only the distinct ones).

The product of its digits is 595350, while the sum is 45.

The square root of 2133975375 is about 46194.9713172332. The cubic root of 2133975375 is about 1287.4483091071.

The spelling of 2133975375 in words is "two billion, one hundred thirty-three million, nine hundred seventy-five thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 175 189 225 315 375 405 525 567 675 875 945 1125 1575 2025 2625 2835 3375 4725 7875 10125 14175 23625 30109 70875 90327 150545 210763 270981 451635 632289 752725 812943 1053815 1354905 1896867 2258175 2438829 3161445 3763625 4064715 5269075 5690601 6774525 9484335 11290875 12194145 15807225 17071803 20323575 26345375 28453005 33872625 47421675 60970725 79036125 85359015 101617875 142265025 237108375 304853625 426795075 711325125 2133975375