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329977189873 = 3720694310441
BaseRepresentation
bin1001100110101000010…
…11000101010111110001
31011112201200022001111201
410303110023011113301
520401243130033443
6411331152211201
732561066556352
oct4632413052761
91145650261451
10329977189873
11117a40580791
1253b50839b01
1325169568496
1411d8452dd29
1588b42ce34d
hex4cd42c55f1

329977189873 has 8 divisors (see below), whose sum is σ = 339059367720. Its totient is φ = 320903637120.

The previous prime is 329977189859. The next prime is 329977189907. The reversal of 329977189873 is 378981779923.

It can be written as a sum of positive squares in 4 ways, for example, as 108350913889 + 221626275984 = 329167^2 + 470772^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 329977189873 - 221 = 329975092721 is a prime.

It is a super-2 number, since 2×3299771898732 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 329977189796 and 329977189805.

It is not an unprimeable number, because it can be changed into a prime (329977109873) 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 7 ways as a sum of consecutive naturals, for example, 2078668 + ... + 2231773.

It is an arithmetic number, because the mean of its divisors is an integer number (42382420965).

Almost surely, 2329977189873 is an apocalyptic number.

It is an amenable number.

329977189873 is a deficient number, since it is larger than the sum of its proper divisors (9082177847).

329977189873 is a wasteful number, since it uses less digits than its factorization.

329977189873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312547.

The product of its digits is 288054144, while the sum is 73.

The spelling of 329977189873 in words is "three hundred twenty-nine billion, nine hundred seventy-seven million, one hundred eighty-nine thousand, eight hundred seventy-three".

Divisors: 1 37 2069 76553 4310441 159486317 8918302429 329977189873