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99000205056 = 2832290914771
BaseRepresentation
bin101110000110011011…
…1110011111100000000
3100110112111100111102100
41130030313303330000
53110223023030211
6113251405550400
710103213600304
oct1341467637400
9313474314370
1099000205056
1138a93042395
121722ab75400
1394496449bc
144b12367d04
152896599156
hex170cdf3f00

99000205056 has 108 divisors (see below), whose sum is σ = 285559452360. Its totient is φ = 32986490880.

The previous prime is 99000205021. The next prime is 99000205063. The reversal of 99000205056 is 65050200099.

It is a super-2 number, since 2×990002050562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 99000205056.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6694951 + ... + 6709721.

Almost surely, 299000205056 is an apocalyptic number.

99000205056 is a gapful number since it is divisible by the number (96) 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 99000205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142779726180).

99000205056 is an abundant number, since it is smaller than the sum of its proper divisors (186559247304).

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

99000205056 is a wasteful number, since it uses less digits than its factorization.

99000205056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702 (or 17685 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 99000205056 in words is "ninety-nine billion, two hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2909 5818 8727 11636 14771 17454 23272 26181 29542 34908 44313 46544 52362 59084 69816 88626 93088 104724 118168 132939 139632 177252 186176 209448 236336 265878 279264 354504 372352 418896 472672 531756 558528 709008 744704 837792 945344 1063512 1117056 1418016 1675584 1890688 2127024 2234112 2836032 3351168 3781376 4254048 5672064 6702336 8508096 11344128 17016192 34032384 42968839 85937678 128906517 171875356 257813034 343750712 386719551 515626068 687501424 773439102 1031252136 1375002848 1546878204 2062504272 2750005696 3093756408 4125008544 5500011392 6187512816 8250017088 11000022784 12375025632 16500034176 24750051264 33000068352 49500102528 99000205056