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99362832640 = 285269288577
BaseRepresentation
bin101110010001001111…
…1001000000100000000
3100111110202200212221121
41130202133020010000
53111443341121030
6113351402202024
710115206066501
oct1344237100400
9314422625847
1099362832640
1139159801905
12173104b3314
1394a67cc736
144b485a0ba8
1528b832947a
hex17227c8100

99362832640 has 72 divisors (see below), whose sum is σ = 238890639960. Its totient is φ = 39597244416.

The previous prime is 99362832623. The next prime is 99362832671. The reversal of 99362832640 is 4623826399.

It can be written as a sum of positive squares in 4 ways, for example, as 92467456 + 99270365184 = 9616^2 + 315072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200032 + ... + 488608.

It is an arithmetic number, because the mean of its divisors is an integer number (3317925555).

Almost surely, 299362832640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99362832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119445319980).

99362832640 is an abundant number, since it is smaller than the sum of its proper divisors (139527807320).

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

99362832640 is a wasteful number, since it uses less digits than its factorization.

99362832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288867 (or 288853 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 99362832640 in words is "ninety-nine billion, three hundred sixty-two million, eight hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 269 320 538 640 1076 1280 1345 2152 2690 4304 5380 8608 10760 17216 21520 34432 43040 68864 86080 172160 288577 344320 577154 1154308 1442885 2308616 2885770 4617232 5771540 9234464 11543080 18468928 23086160 36937856 46172320 73875712 77627213 92344640 155254426 184689280 310508852 369378560 388136065 621017704 776272130 1242035408 1552544260 2484070816 3105088520 4968141632 6210177040 9936283264 12420354080 19872566528 24840708160 49681416320 99362832640