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329133206525 = 52123771063693
BaseRepresentation
bin1001100101000011101…
…11100010101111111101
31011110112212012021000012
410302201313202233331
520343031100102100
6411111322513005
732531141044454
oct4624167425775
91143485167005
10329133206525
11117648129592
1253956065765
1325063755956
1411d043d5b9b
15886516a135
hex4ca1de2bfd

329133206525 has 12 divisors (see below), whose sum is σ = 408158534292. Its totient is φ = 263285043840.

The previous prime is 329133206473. The next prime is 329133206551. The reversal of 329133206525 is 525602331923.

It can be written as a sum of positive squares in 6 ways, for example, as 30140779321 + 298992427204 = 173611^2 + 546802^2 .

It is not a de Polignac number, because 329133206525 - 212 = 329133202429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 222422 + ... + 841271.

It is an arithmetic number, because the mean of its divisors is an integer number (34013211191).

Almost surely, 2329133206525 is an apocalyptic number.

It is an amenable number.

329133206525 is a deficient number, since it is larger than the sum of its proper divisors (79025327767).

329133206525 is a wasteful number, since it uses less digits than its factorization.

329133206525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076080 (or 1076075 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 41.

The spelling of 329133206525 in words is "three hundred twenty-nine billion, one hundred thirty-three million, two hundred six thousand, five hundred twenty-five".

Divisors: 1 5 25 12377 61885 309425 1063693 5318465 26592325 13165328261 65826641305 329133206525