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99088337089 = 7219322332
BaseRepresentation
bin101110001001000100…
…0000000100011000001
3100110202122012001211201
41130102020000203001
53110413103241324
6113304234541201
710105333653100
oct1342210004301
9313678161751
1099088337089
1139028868285
1217254597801
139461991631
144b1dd4a037
15289e1a7444
hex17122008c1

99088337089 has 27 divisors (see below), whose sum is σ = 116365767273. Its totient is φ = 84130163712.

The previous prime is 99088337071. The next prime is 99088337099. The reversal of 99088337089 is 98073388099.

The square root of 99088337089 is 314783.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30549097089 + 68539240000 = 174783^2 + 261800^2 .

It is not a de Polignac number, because 99088337089 - 25 = 99088337057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 99088337089.

It is not an unprimeable number, because it can be changed into a prime (99088337009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 425271717 + ... + 425271949.

Almost surely, 299088337089 is an apocalyptic number.

99088337089 is the 314783-rd square number.

99088337089 is the 157392-nd centered octagonal number.

It is an amenable number.

99088337089 is a deficient number, since it is larger than the sum of its proper divisors (17277430184).

99088337089 is an frugal number, since it uses more digits than its factorization.

99088337089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 64.

Multiplying 99088337089 by its sum of digits (64), we get a square (6341653573696 = 25182642).

The spelling of 99088337089 in words is "ninety-nine billion, eighty-eight million, three hundred thirty-seven thousand, eighty-nine".

Divisors: 1 7 49 193 233 1351 1631 9457 11417 37249 44969 54289 260743 314783 380023 1825201 2203481 2660161 8679017 10477777 60753119 73344439 425271833 513411073 2022210961 14155476727 99088337089