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99011811852 = 223289107337857
BaseRepresentation
bin101110000110110010…
…0000101101000001100
3100110120022012011221200
41130031210011220030
53110234010434402
6113252502425500
710103414341332
oct1341544055014
9313508164850
1099011811852
1138a9964a788
1217232a32290
13944bb79a25
144b13b09b52
1528975dd21c
hex170d905a0c

99011811852 has 144 divisors (see below), whose sum is σ = 256514338080. Its totient is φ = 32194584576.

The previous prime is 99011811851. The next prime is 99011811863. The reversal of 99011811852 is 25811811099.

It is a junction number, because it is equal to n+sod(n) for n = 99011811798 and 99011811807.

It is not an unprimeable number, because it can be changed into a prime (99011811851) 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, 115532608 + ... + 115533464.

It is an arithmetic number, because the mean of its divisors is an integer number (1781349570).

Almost surely, 299011811852 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 99011811852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128257169040).

99011811852 is an abundant number, since it is smaller than the sum of its proper divisors (157502526228).

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

99011811852 is a wasteful number, since it uses less digits than its factorization.

99011811852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 45.

The spelling of 99011811852 in words is "ninety-nine billion, eleven million, eight hundred eleven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 107 178 214 267 321 337 356 428 534 642 674 801 857 963 1011 1068 1284 1348 1602 1714 1926 2022 2571 3033 3204 3428 3852 4044 5142 6066 7713 9523 10284 12132 15426 19046 28569 29993 30852 36059 38092 57138 59986 72118 76273 85707 89979 91699 108177 114276 119972 144236 152546 171414 179958 183398 216354 228819 269937 275097 288809 305092 324531 342828 359916 366796 432708 457638 539874 550194 577618 649062 686457 825291 866427 915276 1079748 1100388 1155236 1298124 1372914 1650582 1732854 2599281 2745828 3209251 3301164 3465708 5198562 6418502 8161211 9627753 10397124 12837004 16322422 19255506 24483633 25704001 28883259 30902563 32644844 38511012 48967266 51408002 57766518 61805126 73450899 77112003 92707689 97934532 102816004 115533036 123610252 146901798 154224006 185415378 231336009 278123067 293803596 308448012 370830756 462672018 556246134 925344036 1112492268 2750328107 5500656214 8250984321 11001312428 16501968642 24752952963 33003937284 49505905926 99011811852