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329439265025 = 521341233106109
BaseRepresentation
bin1001100101101000001…
…11000100000100000001
31011111100012002122100012
410302310013010010001
520344142422440100
6411201534434305
732541545356343
oct4626407040401
91144305078305
10329439265025
111177949708a2
1253a20662995
13250b1c95260
1411d32d05293
158881e74135
hex4cb41c4101

329439265025 has 48 divisors (see below), whose sum is σ = 452596500720. Its totient is φ = 236323737600.

The previous prime is 329439265019. The next prime is 329439265031. The reversal of 329439265025 is 520562934923.

It is a Cunningham number, because it is equal to 5739682+1.

It is an interprime number because it is at equal distance from previous prime (329439265019) and next prime (329439265031).

It can be written as a sum of positive squares in 24 ways, for example, as 294378949489 + 35060315536 = 542567^2 + 187244^2 .

It is not a de Polignac number, because 329439265025 - 212 = 329439260929 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3051671 + ... + 3157779.

It is an arithmetic number, because the mean of its divisors is an integer number (9429093765).

Almost surely, 2329439265025 is an apocalyptic number.

It is an amenable number.

329439265025 is a deficient number, since it is larger than the sum of its proper divisors (123157235695).

329439265025 is a wasteful number, since it uses less digits than its factorization.

329439265025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106406 (or 106401 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 50.

The spelling of 329439265025 in words is "three hundred twenty-nine billion, four hundred thirty-nine million, two hundred sixty-five thousand, twenty-five".

Divisors: 1 5 13 25 41 65 205 233 325 533 1025 1165 2665 3029 5825 9553 13325 15145 47765 75725 106109 124189 238825 530545 620945 1379417 2652725 3104725 4350469 6897085 21752345 24723397 34485425 56556097 108761725 123616985 282780485 321404161 618084925 1013659277 1413902425 1607020805 5068296385 8035104025 13177570601 25341481925 65887853005 329439265025