Search a number
-
+
164248852170 = 235131923137633
BaseRepresentation
bin1001100011110111111…
…1101001011011001010
3120200221210012012110010
42120331333221123022
510142340201232140
6203242130532350
714603145131214
oct2307577513312
9520853165403
10164248852170
1163726216737
12279ba7370b6
13126475bb430
147d41d255b4
1544149bb880
hex263dfe96ca

164248852170 has 192 divisors, whose sum is σ = 462504397824. Its totient is φ = 37066014720.

The previous prime is 164248852129. The next prime is 164248852231. The reversal of 164248852170 is 71258842461.

It is a happy number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4345674 + ... + 4383306.

It is an arithmetic number, because the mean of its divisors is an integer number (2408877072).

Almost surely, 2164248852170 is an apocalyptic number.

164248852170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164248852170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231252198912).

164248852170 is an abundant number, since it is smaller than the sum of its proper divisors (298255545654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164248852170 is a wasteful number, since it uses less digits than its factorization.

164248852170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37725 (or 37706 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 164248852170 in words is "one hundred sixty-four billion, two hundred forty-eight million, eight hundred fifty-two thousand, one hundred seventy".