Search a number
-
+
99132411609 = 3272112292472
BaseRepresentation
bin101110001010011000…
…0001000111011011001
3100110212201010021201100
41130110300020323121
53111010344132414
6113312451342013
710106410411200
oct1342460107331
9313781107640
1099132411609
1139050731100
12172672b1909
13946ab5392a
144b25b40237
1528a2eb1609
hex1714c08ed9

99132411609 has 243 divisors, whose sum is σ = 193740119391. Its totient is φ = 48663679680.

The previous prime is 99132411607. The next prime is 99132411613. The reversal of 99132411609 is 90611423199.

The square root of 99132411609 is 314853.

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

99132411609 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 24 + 11 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51982632009 + 47149779600 = 227997^2 + 217140^2 .

It is not a de Polignac number, because 99132411609 - 21 = 99132411607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99132411601) 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 242 ways as a sum of consecutive naturals, for example, 2109200224 + ... + 2109200270.

Almost surely, 299132411609 is an apocalyptic number.

99132411609 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99132411609 is the 314853-rd square number.

99132411609 is the 157427-th centered octagonal number.

It is an amenable number.

99132411609 is a deficient number, since it is larger than the sum of its proper divisors (94607707782).

99132411609 is a wasteful number, since it uses less digits than its factorization.

99132411609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 99132411609 in words is "ninety-nine billion, one hundred thirty-two million, four hundred eleven thousand, six hundred nine".