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99290430666 = 2347297274153
BaseRepresentation
bin101110001111000101…
…0111011110011001010
3100111021201110111010000
41130132022323303022
53111321322240131
6113340254303430
710113336510150
oct1343612736312
9314251414100
1099290430666
1139121950169
12172b01b7b76
1394947cc82b
144b3cb153d0
1528b1cc6ce6
hex171e2bbcca

99290430666 has 160 divisors (see below), whose sum is σ = 263460637440. Its totient is φ = 27346201344.

The previous prime is 99290430649. The next prime is 99290430677. The reversal of 99290430666 is 66603409299.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23906046 + ... + 23910198.

It is an arithmetic number, because the mean of its divisors is an integer number (1646628984).

Almost surely, 299290430666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99290430666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131730318720).

99290430666 is an abundant number, since it is smaller than the sum of its proper divisors (164170206774).

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

99290430666 is a wasteful number, since it uses less digits than its factorization.

99290430666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 99290430666 in words is "ninety-nine billion, two hundred ninety million, four hundred thirty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 727 783 1134 1218 1454 1566 1827 2181 2349 3654 4153 4362 4698 5089 5481 6543 8306 10178 10962 12459 13086 15267 16443 19629 21083 24918 29071 30534 32886 37377 39258 42166 45801 58142 58887 63249 74754 87213 91602 112131 117774 120437 126498 137403 147581 174426 189747 224262 240874 261639 274806 295162 336393 361311 379494 412209 442743 523278 569241 672786 722622 784917 824418 843059 885486 1083933 1138482 1328229 1569834 1686118 1707723 2167866 2354751 2529177 2656458 3019231 3251799 3415446 3984687 4709502 5058354 6038462 6503598 7587531 7969374 9057693 9755397 11954061 15175062 18115386 19510794 21134617 22762593 23908122 27173079 42269234 45525186 54346158 63403851 68287779 81519237 87557699 126807702 136575558 163038474 175115398 190211553 244557711 262673097 380423106 489115422 525346194 570634659 612903893 788019291 1141269318 1225807786 1576038582 1711903977 1838711679 2364057873 3423807954 3677423358 4728115746 5516135037 7092173619 11032270074 14184347238 16548405111 33096810222 49645215333 99290430666