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164148067113 = 3412515316881
BaseRepresentation
bin1001100011011111111…
…1001011101100101001
3120200200202112210100020
42120313333023230221
510142133401121423
6203224130431053
714600512356222
oct2306777135451
9520622483306
10164148067113
11636843393a8
1227990a32489
131262c7614c4
147d327ac249
15440ac0e4e3
hex2637fcbb29

164148067113 has 16 divisors (see below), whose sum is σ = 225095516352. Its totient is φ = 106337600000.

The previous prime is 164148067093. The next prime is 164148067157. The reversal of 164148067113 is 311760841461.

It is a happy number.

It is not a de Polignac number, because 164148067113 - 221 = 164145969961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164148067163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2627568 + ... + 2689313.

It is an arithmetic number, because the mean of its divisors is an integer number (14068469772).

Almost surely, 2164148067113 is an apocalyptic number.

It is an amenable number.

164148067113 is a deficient number, since it is larger than the sum of its proper divisors (60947449239).

164148067113 is a wasteful number, since it uses less digits than its factorization.

164148067113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317176.

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 164148067113 in words is "one hundred sixty-four billion, one hundred forty-eight million, sixty-seven thousand, one hundred thirteen".

Divisors: 1 3 41 123 251 753 10291 30873 5316881 15950643 217992121 653976363 1334537131 4003611393 54716022371 164148067113