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164836663967 = 17194253119993
BaseRepresentation
bin1001100110000100000…
…1111110001010011111
3120202110202021010122102
42121201001332022133
510200041141221332
6203420325435315
714623543345223
oct2314101761237
9522422233572
10164836663967
11639a7aaa408
1227b4356bb3b
131270c30a471
147d9a018783
15444b3cd062
hex266107e29f

164836663967 has 16 divisors (see below), whose sum is σ = 183763611360. Its totient is φ = 146939323392.

The previous prime is 164836663963. The next prime is 164836664021. The reversal of 164836663967 is 769366638461.

It is a happy number.

164836663967 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 not a de Polignac number, because 164836663967 - 22 = 164836663963 is a prime.

It is a super-2 number, since 2×1648366639672 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164836663963) 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, 1313723 + ... + 1433715.

It is an arithmetic number, because the mean of its divisors is an integer number (11485225710).

Almost surely, 2164836663967 is an apocalyptic number.

164836663967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

164836663967 is a deficient number, since it is larger than the sum of its proper divisors (18926947393).

164836663967 is a wasteful number, since it uses less digits than its factorization.

164836663967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124282.

The product of its digits is 141087744, while the sum is 65.

The spelling of 164836663967 in words is "one hundred sixty-four billion, eight hundred thirty-six million, six hundred sixty-three thousand, nine hundred sixty-seven".

Divisors: 1 17 19 323 4253 72301 80807 119993 1373719 2039881 2279867 38757739 510330229 8675613893 9696274351 164836663967