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99330868224 = 2103274672
BaseRepresentation
bin101110010000010010…
…1001100010000000000
3100111101112112221000100
41130200211030100000
53111412200240344
6113344301122400
710114340310000
oct1344045142000
9314345487010
1099330868224
113914275a535
1217301859400
13949ccba593
144b44240000
1528b5613569
hex172094c400

99330868224 has 495 divisors, whose sum is σ = 339666981927. Its totient is φ = 27956662272.

The previous prime is 99330868163. The next prime is 99330868253. The reversal of 99330868224 is 42286803399.

It is a happy number.

The square root of 99330868224 is 315168.

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

99330868224 is a `hidden beast` number, since 9 + 9 + 330 + 86 + 8 + 224 = 666.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1482550239 + ... + 1482550305.

Almost surely, 299330868224 is an apocalyptic number.

99330868224 is the 315168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99330868224

99330868224 is an abundant number, since it is smaller than the sum of its proper divisors (240336113703).

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

99330868224 is an frugal number, since it uses more digits than its factorization.

99330868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 99330868224 in words is "ninety-nine billion, three hundred thirty million, eight hundred sixty-eight thousand, two hundred twenty-four".