Search a number
-
+
1052300032164 = 2232175332442349
BaseRepresentation
bin11110101000000011111…
…10000011100010100100
310201121011121011100002100
433110001332003202210
5114220102302012124
62123230413412100
7136011655455633
oct17240176034244
93647147140070
101052300032164
11376306a31177
1214bb3919a030
13783016c2234
1438d0841351a
151c58ced71c9
hexf501f838a4

1052300032164 has 72 divisors (see below), whose sum is σ = 2869590742200. Its totient is φ = 323904402432.

The previous prime is 1052300032151. The next prime is 1052300032193. The reversal of 1052300032164 is 4612300032501.

1052300032164 is a `hidden beast` number, since 105 + 230 + 0 + 0 + 321 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 532447496100 + 519852536064 = 729690^2 + 721008^2 .

It is a super-2 number, since 2×10523000321642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16188739 + ... + 16253610.

It is an arithmetic number, because the mean of its divisors is an integer number (39855426975).

Almost surely, 21052300032164 is an apocalyptic number.

It is an amenable number.

1052300032164 is an abundant number, since it is smaller than the sum of its proper divisors (1817290710036).

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

1052300032164 is a wasteful number, since it uses less digits than its factorization.

1052300032164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32442429 (or 32442424 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1052300032164 its reverse (4612300032501), we get a palindrome (5664600064665).

The spelling of 1052300032164 in words is "one trillion, fifty-two billion, three hundred million, thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 3604 5406 8109 10812 16218 32436 32442349 64884698 97327047 129769396 194654094 291981141 389308188 551519933 583962282 1103039866 1167924564 1654559799 1719444497 2206079732 3309119598 3438888994 4963679397 5158333491 6618239196 6877777988 9927358794 10316666982 15475000473 19854717588 20633333964 29230556449 30950000946 58461112898 61900001892 87691669347 116922225796 175383338694 263075008041 350766677388 526150016082 1052300032164