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164312815027 = 474439678161
BaseRepresentation
bin1001100100000111001…
…1101001010110110011
3120201010020112211222211
42121001303221112303
510143003040040102
6203252333512551
714604552611644
oct2310163512663
9521106484884
10164312815027
11637593339a9
1227a18042757
131265792508a
147d4a6156cb
15441a4037d7
hex2641ce95b3

164312815027 has 16 divisors (see below), whose sum is σ = 168382190592. Its totient is φ = 160268209920.

The previous prime is 164312815013. The next prime is 164312815067. The reversal of 164312815027 is 720518213461.

164312815027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164312815027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164312815067) 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 15 ways as a sum of consecutive naturals, for example, 20129827 + ... + 20137987.

It is an arithmetic number, because the mean of its divisors is an integer number (10523886912).

Almost surely, 2164312815027 is an apocalyptic number.

164312815027 is a deficient number, since it is larger than the sum of its proper divisors (4069375565).

164312815027 is an equidigital number, since it uses as much as digits as its factorization.

164312815027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9618.

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 164312815027 in words is "one hundred sixty-four billion, three hundred twelve million, eight hundred fifteen thousand, twenty-seven".

Divisors: 1 47 443 967 8161 20821 45449 383567 428381 3615323 7891687 20133907 169920181 370909289 3496017341 164312815027