Search a number
-
+
99509964304 = 2417246392
BaseRepresentation
bin101110010101101000…
…0011000111000010000
3100111212000112221122111
41130223100120320100
53112244022324204
6113414135515104
710121643512002
oct1345320307020
9314760487574
1099509964304
1139224865023
1217351828a94
1394cb135baa
144b5dd40372
1528c61ddd04
hex172b418e10

99509964304 has 45 divisors (see below), whose sum is σ = 204853053837. Its totient is φ = 46818124032.

The previous prime is 99509964283. The next prime is 99509964311. The reversal of 99509964304 is 40346990599.

The square root of 99509964304 is 315452.

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., 77473155600 + 22036808704 = 278340^2 + 148448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21448417 + ... + 21453055.

Almost surely, 299509964304 is an apocalyptic number.

99509964304 is the 315452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99509964304

99509964304 is an abundant number, since it is smaller than the sum of its proper divisors (105343089533).

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

99509964304 is an frugal number, since it uses more digits than its factorization.

99509964304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 58.

The spelling of 99509964304 in words is "ninety-nine billion, five hundred nine million, nine hundred sixty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 4639 9278 18556 37112 74224 78863 157726 315452 630904 1261808 1340671 2681342 5362684 10725368 21450736 21520321 43040642 86081284 172162568 344325136 365845457 731690914 1463381828 2926763656 5853527312 6219372769 12438745538 24877491076 49754982152 99509964304