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164016014807 = 172678470589
BaseRepresentation
bin1001100011000000011…
…1011100010111010111
3120200100120001211122002
42120300013130113113
510141401044433212
6203203052225515
714564320060121
oct2306007342727
9520316054562
10164016014807
1163616845567
122795476b29b
131260b2a7848
147d1d036211
1543ee327ac2
hex26301dc5d7

164016014807 has 12 divisors (see below), whose sum is σ = 176832036840. Its totient is φ = 152063995776.

The previous prime is 164016014803. The next prime is 164016014867. The reversal of 164016014807 is 708410610461.

164016014807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164016014807 - 22 = 164016014803 is a prime.

It is a super-2 number, since 2×1640160148072 (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 (164016014801) 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 11 ways as a sum of consecutive naturals, for example, 4215932 + ... + 4254657.

It is an arithmetic number, because the mean of its divisors is an integer number (14736003070).

Almost surely, 2164016014807 is an apocalyptic number.

164016014807 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

164016014807 is a deficient number, since it is larger than the sum of its proper divisors (12816022033).

164016014807 is an equidigital number, since it uses as much as digits as its factorization.

164016014807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470690 (or 8470673 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 164016014807 in words is "one hundred sixty-four billion, sixteen million, fourteen thousand, eight hundred seven".

Divisors: 1 17 67 289 1139 19363 8470589 144000013 567529463 2448000221 9648000871 164016014807