Search a number
-
+
164179039626 = 232729614311709
BaseRepresentation
bin1001100011100111010…
…1010101010110001010
3120200202220211100122100
42120321311111112022
510142214313232001
6203231154334230
714601336545130
oct2307165252612
9520686740570
10164179039626
116369a873518
122799b28a376
1312635cb7034
147d36951750
15440d7cb586
hex2639d5558a

164179039626 has 192 divisors, whose sum is σ = 428693990400. Its totient is φ = 44418931200.

The previous prime is 164179039621. The next prime is 164179039631. The reversal of 164179039626 is 626930971461.

164179039626 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 7 + 9 + 0 + 3 + 9 + 626 = 666.

164179039626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164179039621) and next prime (164179039631).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164179039621) 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 95 ways as a sum of consecutive naturals, for example, 96066460 + ... + 96068168.

It is an arithmetic number, because the mean of its divisors is an integer number (2232781200).

Almost surely, 2164179039626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164179039626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214346995200).

164179039626 is an abundant number, since it is smaller than the sum of its proper divisors (264514950774).

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

164179039626 is a wasteful number, since it uses less digits than its factorization.

164179039626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 164179039626 in words is "one hundred sixty-four billion, one hundred seventy-nine million, thirty-nine thousand, six hundred twenty-six".