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99825930000 = 2432541318467
BaseRepresentation
bin101110011111000010…
…1101100111100010000
3100112200001002200002200
41130332011230330100
53113420414230000
6113505344043200
710132531255536
oct1347605547420
9315601080080
1099825930000
11393771537a5
121741b603500
13954b733a44
144b8dcac156
1528e3d03500
hex173e16cf10

99825930000 has 300 divisors, whose sum is σ = 351812171568. Its totient is φ = 26413920000.

The previous prime is 99825929999. The next prime is 99825930031. The reversal of 99825930000 is 3952899.

99825930000 is a `hidden beast` number, since 9 + 98 + 259 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11785767 + ... + 11794233.

Almost surely, 299825930000 is an apocalyptic number.

99825930000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99825930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175906085784).

99825930000 is an abundant number, since it is smaller than the sum of its proper divisors (251986241568).

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

99825930000 is a wasteful number, since it uses less digits than its factorization.

99825930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632 (or 8608 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 99825930000 in words is "ninety-nine billion, eight hundred twenty-five million, nine hundred thirty thousand".