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99819347364 = 223211247872
BaseRepresentation
bin101110011110110110…
…0100101110110100100
3100112122120201020102100
41130331230211312210
53113412223103424
6113504551012100
710132421311302
oct1347554456644
9315576636370
1099819347364
1139373468100
121741936a030
13954a26a7a9
144b8d077272
1528e3452dc9
hex173db25da4

99819347364 has 81 divisors (see below), whose sum is σ = 277402660171. Its totient is φ = 30241968240.

The previous prime is 99819347293. The next prime is 99819347399. The reversal of 99819347364 is 46374391899.

The square root of 99819347364 is 315942.

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

99819347364 is a `hidden beast` number, since 9 + 98 + 19 + 3 + 473 + 64 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20849779 + ... + 20854565.

Almost surely, 299819347364 is an apocalyptic number.

99819347364 is the 315942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99819347364

99819347364 is an abundant number, since it is smaller than the sum of its proper divisors (177583312807).

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

99819347364 is a wasteful number, since it uses less digits than its factorization.

99819347364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 4803 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 99819347364 in words is "ninety-nine billion, eight hundred nineteen million, three hundred forty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 4787 9574 14361 19148 28722 43083 52657 57444 86166 105314 157971 172332 210628 315942 473913 579227 631884 947826 1158454 1737681 1895652 2316908 3475362 5213043 6950724 10426086 20852172 22915369 45830738 68746107 91661476 137492214 206238321 252069059 274984428 412476642 504138118 756207177 824953284 1008276236 1512414354 2268621531 2772759649 3024828708 4537243062 5545519298 8318278947 9074486124 11091038596 16636557894 24954836841 33273115788 49909673682 99819347364