Search a number
-
+
99888866704 = 241146532
BaseRepresentation
bin101110100000111010…
…1110010010110010000
3100112211102112012000201
41131001311302112100
53114033022213304
6113515513024544
710134224233504
oct1350165622620
9315742465021
1099888866704
11393a9730000
12174386b5154
13955b79b5b3
144b983b2304
1528e95d63a4
hex1741d72590

99888866704 has 75 divisors (see below), whose sum is σ = 213213338065. Its totient is φ = 45334498880.

The previous prime is 99888866653. The next prime is 99888866729. The reversal of 99888866704 is 40766888899.

The square root of 99888866704 is 316052.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23244051600 + 76644815104 = 152460^2 + 276848^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 152968842 + ... + 152969494.

Almost surely, 299888866704 is an apocalyptic number.

99888866704 is the 316052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99888866704

99888866704 is an abundant number, since it is smaller than the sum of its proper divisors (113324471361).

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

99888866704 is an frugal number, since it uses more digits than its factorization.

99888866704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 73.

The spelling of 99888866704 in words is "ninety-nine billion, eight hundred eighty-eight million, eight hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 653 968 1306 1331 1936 2612 2662 5224 5324 7183 10448 10648 14366 14641 21296 28732 29282 57464 58564 79013 114928 117128 158026 234256 316052 426409 632104 852818 869143 1264208 1705636 1738286 3411272 3476572 4690499 6822544 6953144 9380998 9560573 13906288 18761996 19121146 37523992 38242292 51595489 75047984 76484584 103190978 152969168 206381956 412763912 567550379 825527824 1135100758 2270201516 4540403032 6243054169 9080806064 12486108338 24972216676 49944433352 99888866704