Search a number
-
+
164447101026 = 232131973567337
BaseRepresentation
bin1001100100100111001…
…1111010000001100010
3120201110121020021202100
42121021303322001202
510143241424213101
6203313532031230
714611103203215
oct2311163720142
9521417207670
10164447101026
1163818112a6a
1227a55002516
13126796b1650
147d603ad77c
1544270cbe86
hex2649cfa062

164447101026 has 48 divisors (see below), whose sum is σ = 385657776504. Its totient is φ = 50342245632.

The previous prime is 164447101003. The next prime is 164447101033. The reversal of 164447101026 is 620101744461.

It is a happy number.

164447101026 is a `hidden beast` number, since 1 + 644 + 4 + 7 + 1 + 0 + 1 + 0 + 2 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164431061001 + 16040025 = 405501^2 + 4005^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737571 + ... + 1829766.

Almost surely, 2164447101026 is an apocalyptic number.

164447101026 is an abundant number, since it is smaller than the sum of its proper divisors (221210675478).

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

164447101026 is a wasteful number, since it uses less digits than its factorization.

164447101026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567555 (or 3567552 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 164447101026 its reverse (620101744461), we get a palindrome (784548845487).

The spelling of 164447101026 in words is "one hundred sixty-four billion, four hundred forty-seven million, one hundred one thousand, twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 591 1182 1773 2561 3546 5122 7683 15366 23049 46098 3567337 7134674 10702011 21404022 32106033 46375381 64212066 92750762 139126143 278252286 417378429 702765389 834756858 1405530778 2108296167 4216592334 6324888501 9135950057 12649777002 18271900114 27407850171 54815700342 82223550513 164447101026