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168048605309 = 13176145727277
BaseRepresentation
bin1001110010000001111…
…0100011100001111101
3121001202121002122211212
42130200132203201331
510223130420332214
6205111144454205
715066254401544
oct2344036434175
9531677078755
10168048605309
11652a6069492
122869b17a365
1312b0189a380
1481c283115b
15458838953e
hex27207a387d

168048605309 has 32 divisors (see below), whose sum is σ = 195195694176. Its totient is φ = 143284101120.

The previous prime is 168048605261. The next prime is 168048605383. The reversal of 168048605309 is 903506840861.

168048605309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 68557567225 + 99491038084 = 261835^2 + 315422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-168048605309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168048605399) 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 31 ways as a sum of consecutive naturals, for example, 6147179 + ... + 6174455.

It is an arithmetic number, because the mean of its divisors is an integer number (6099865443).

Almost surely, 2168048605309 is an apocalyptic number.

It is an amenable number.

168048605309 is a deficient number, since it is larger than the sum of its proper divisors (27147088867).

168048605309 is a wasteful number, since it uses less digits than its factorization.

168048605309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27825.

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 168048605309 in words is "one hundred sixty-eight billion, forty-eight million, six hundred five thousand, three hundred nine".

Divisors: 1 13 17 61 221 457 793 1037 5941 7769 13481 27277 27877 100997 354601 362401 463709 473909 1663897 6028217 6160817 12465589 21630661 28286249 162052657 211915013 367721237 760400929 2754895169 9885212077 12926815793 168048605309