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99016347168 = 25323596731423
BaseRepresentation
bin101110000110111010…
…1011000111000100000
3100110120121201121020100
41130031311120320200
53110241141102133
6113253143542400
710103501030664
oct1341565307040
9313517647210
1099016347168
1138aa1168182
121723445aa00
13944caa714b
144b1456a8a4
152897bd6e13
hex170dd58e20

99016347168 has 144 divisors (see below), whose sum is σ = 282980355840. Its totient is φ = 32841510912.

The previous prime is 99016347161. The next prime is 99016347181. The reversal of 99016347168 is 86174361099.

99016347168 is a `hidden beast` number, since 9 + 9 + 0 + 163 + 471 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (99016347161) by changing a digit.

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, 69582105 + ... + 69583527.

It is an arithmetic number, because the mean of its divisors is an integer number (1965141360).

Almost surely, 299016347168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99016347168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141490177920).

99016347168 is an abundant number, since it is smaller than the sum of its proper divisors (183964008672).

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

99016347168 is a wasteful number, since it uses less digits than its factorization.

99016347168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 99016347168 in words is "ninety-nine billion, sixteen million, three hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 359 673 718 1077 1346 1423 1436 2019 2154 2692 2846 2872 3231 4038 4269 4308 5384 5692 5744 6057 6462 8076 8538 8616 10768 11384 11488 12114 12807 12924 16152 17076 17232 21536 22768 24228 25614 25848 32304 34152 34464 45536 48456 51228 51696 64608 68304 96912 102456 103392 136608 193824 204912 241607 409824 483214 510857 724821 957679 966428 1021714 1449642 1532571 1915358 1932856 2043428 2174463 2873037 2899284 3065142 3830716 3865712 4086856 4348926 4597713 5746074 5798568 6130284 7661432 7731424 8173712 8619111 8697852 9195426 11492148 11597136 12260568 15322864 16347424 17238222 17395704 18390852 22984296 23194272 24521136 30645728 34476444 34791408 36781704 45968592 49042272 68952888 69582816 73563408 91937184 137905776 147126816 275811552 343806761 687613522 1031420283 1375227044 2062840566 2750454088 3094260849 4125681132 5500908176 6188521698 8251362264 11001816352 12377043396 16502724528 24754086792 33005449056 49508173584 99016347168