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330133233429 = 32291264878289
BaseRepresentation
bin1001100110111010111…
…10010101111100010101
31011120010112220220000200
410303131132111330111
520402103101432204
6411354444531113
732565003120006
oct4633536257425
91146115826020
10330133233429
111180106705aa
1253b94b50a99
13251929a214c
1411d9b14d1ad
1588c2d54539
hex4cdd795f15

330133233429 has 12 divisors (see below), whose sum is σ = 493302533100. Its totient is φ = 212499552384.

The previous prime is 330133233413. The next prime is 330133233503. The reversal of 330133233429 is 924332331033.

330133233429 is a `hidden beast` number, since 3 + 301 + 3 + 3 + 2 + 3 + 342 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 270951480900 + 59181752529 = 520530^2 + 243273^2 .

It is not a de Polignac number, because 330133233429 - 24 = 330133233413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330133233393 and 330133233402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330133233629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 632438884 + ... + 632439405.

It is an arithmetic number, because the mean of its divisors is an integer number (41108544425).

Almost surely, 2330133233429 is an apocalyptic number.

It is an amenable number.

330133233429 is a deficient number, since it is larger than the sum of its proper divisors (163169299671).

330133233429 is a wasteful number, since it uses less digits than its factorization.

330133233429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264878324 (or 1264878321 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The spelling of 330133233429 in words is "three hundred thirty billion, one hundred thirty-three million, two hundred thirty-three thousand, four hundred twenty-nine".

Divisors: 1 3 9 29 87 261 1264878289 3794634867 11383904601 36681470381 110044411143 330133233429