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99985918230 = 232511159763241
BaseRepresentation
bin101110100011110100…
…0000000100100010110
3100120002012010220200200
41131013220000210112
53114232343340410
6113533301121330
710136513165532
oct1350750004426
9316065126620
1099985918230
1139449498280
12174650b9246
13957591c033
144ba7236bc2
152902da73c0
hex1747a00916

99985918230 has 96 divisors (see below), whose sum is σ = 283778490528. Its totient is φ = 24223449600.

The previous prime is 99985918139. The next prime is 99985918237. The reversal of 99985918230 is 3281958999.

99985918230 is a `hidden beast` number, since 9 + 9 + 9 + 8 + 591 + 8 + 2 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99985918237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549410 + ... + 1612650.

It is an arithmetic number, because the mean of its divisors is an integer number (2956025943).

Almost surely, 299985918230 is an apocalyptic number.

99985918230 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 316205×316206.

It is a practical number, because each smaller number is the sum of distinct divisors of 99985918230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141889245264).

99985918230 is an abundant number, since it is smaller than the sum of its proper divisors (183792572298).

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

99985918230 is a wasteful number, since it uses less digits than its factorization.

99985918230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64862 (or 64859 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 99985918230 in words is "ninety-nine billion, nine hundred eighty-five million, nine hundred eighteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1597 3194 4791 7985 9582 14373 15970 17567 23955 28746 35134 47910 52701 63241 71865 87835 105402 126482 143730 158103 175670 189723 263505 316205 316206 379446 527010 569169 632410 695651 790515 948615 1138338 1391302 1581030 1897230 2086953 2845845 3478255 4173906 5691690 6260859 6956510 10434765 12521718 20869530 31304295 62608590 100995877 201991754 302987631 504979385 605975262 908962893 1009958770 1110954647 1514938155 1817925786 2221909294 3029876310 3332863941 4544814465 5554773235 6665727882 9089628930 9998591823 11109546470 16664319705 19997183646 33328639410 49992959115 99985918230