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164324512077777 = 32171074016418809
BaseRepresentation
bin100101010111001111001000…
…001010111001011111010001
3210112211021021210010100021200
4211113033020022321133101
5133014243100042442102
61341253345543141413
746420024411346202
oct4527171012713721
9715737253110250
10164324512077777
11483a46a8155a67
121651b236744869
13708c972a3b39c
142c814c52435a9
1513ee6ce92e51c
hex9573c82b97d1

164324512077777 has 12 divisors (see below), whose sum is σ = 251319842001540. Its totient is φ = 103105576205568.

The previous prime is 164324512077769. The next prime is 164324512077793. The reversal of 164324512077777 is 777770215423461.

164324512077777 is a `hidden beast` number, since 1 + 6 + 43 + 2 + 4 + 512 + 0 + 7 + 7 + 7 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78775405553601 + 85549106524176 = 8875551^2 + 9249276^2 .

It is not a de Polignac number, because 164324512077777 - 23 = 164324512077769 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (164324512077707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537008209252 + ... + 537008209557.

It is an arithmetic number, because the mean of its divisors is an integer number (20943320166795).

Almost surely, 2164324512077777 is an apocalyptic number.

164324512077777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164324512077777 is a deficient number, since it is larger than the sum of its proper divisors (86995329923763).

164324512077777 is a wasteful number, since it uses less digits than its factorization.

164324512077777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074016418832 (or 1074016418829 counting only the distinct ones).

The product of its (nonzero) digits is 96808320, while the sum is 63.

The spelling of 164324512077777 in words is "one hundred sixty-four trillion, three hundred twenty-four billion, five hundred twelve million, seventy-seven thousand, seven hundred seventy-seven".

Divisors: 1 3 9 17 51 153 1074016418809 3222049256427 9666147769281 18258279119753 54774837359259 164324512077777