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164065279679 = 7103444151239
BaseRepresentation
bin1001100011001100001…
…1010111111010111111
3120200110222202202022222
42120303003113322333
510142001202422204
6203212012155555
714565455603360
oct2306303277277
9520428682288
10164065279679
1163641633a34
1227969168bbb
1312618566462
147d257bbb67
154403809abe
hex26330d7ebf

164065279679 has 16 divisors (see below), whose sum is σ = 189369922560. Its totient is φ = 139227992640.

The previous prime is 164065279669. The next prime is 164065279709. The reversal of 164065279679 is 976972560461.

It is a cyclic number.

It is not a de Polignac number, because 164065279679 - 28 = 164065279423 is a prime.

It is a super-2 number, since 2×1640652796792 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164065279669) 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, 3176342 + ... + 3227580.

It is an arithmetic number, because the mean of its divisors is an integer number (11835620160).

Almost surely, 2164065279679 is an apocalyptic number.

164065279679 is a deficient number, since it is larger than the sum of its proper divisors (25304642881).

164065279679 is a wasteful number, since it uses less digits than its factorization.

164065279679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55790.

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 164065279679 in words is "one hundred sixty-four billion, sixty-five million, two hundred seventy-nine thousand, six hundred seventy-nine".

Divisors: 1 7 103 721 4441 31087 51239 358673 457423 3201961 5277617 36943319 227552399 1592866793 23437897097 164065279679