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99866916306 = 2337137369833
BaseRepresentation
bin101110100000010001…
…0000011010111010010
3100112202220012222202000
41131000202003113102
53114011412310211
6113513410334430
710133536532253
oct1350042032722
9315686188660
1099866916306
11393982a8383
121743128a416
1395570844b1
144b954dab2a
1528e76ec656
hex17408835d2

99866916306 has 64 divisors (see below), whose sum is σ = 225658794240. Its totient is φ = 32731655040.

The previous prime is 99866916293. The next prime is 99866916349. The reversal of 99866916306 is 60361966899.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395166 + ... + 1464998.

It is an arithmetic number, because the mean of its divisors is an integer number (3525918660).

Almost surely, 299866916306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99866916306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112829397120).

99866916306 is an abundant number, since it is smaller than the sum of its proper divisors (125791877934).

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

99866916306 is a wasteful number, since it uses less digits than its factorization.

99866916306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70288 (or 70282 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 99866916306 in words is "ninety-nine billion, eight hundred sixty-six million, nine hundred sixteen thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 373 426 639 746 1119 1278 1917 2238 3357 3834 6714 10071 20142 26483 52966 69833 79449 139666 158898 209499 238347 418998 476694 628497 715041 1256994 1430082 1885491 3770982 4958143 9916286 14874429 26047709 29748858 44623287 52095418 78143127 89246574 133869861 156286254 234429381 267739722 468858762 703288143 1406576286 1849387339 3698774678 5548162017 11096324034 16644486051 33288972102 49933458153 99866916306