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99990006666 = 2311173110128463
BaseRepresentation
bin101110100011111011…
…1100110101110001010
3100120002110211121222020
41131013313212232022
53114234420203131
6113533524505310
710136563014264
oct1350767465612
9316073747866
1099990006666
113945082aa50
121746654b236
139576720c24
144ba79bcb34
152903413996
hex1747de6b8a

99990006666 has 128 divisors (see below), whose sum is σ = 240813637632. Its totient is φ = 27323520000.

The previous prime is 99990006643. The next prime is 99990006671. The reversal of 99990006666 is 66660009999.

99990006666 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

99990006666 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3498751 + ... + 3527213.

It is an arithmetic number, because the mean of its divisors is an integer number (1881356544).

Almost surely, 299990006666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99990006666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120406818816).

99990006666 is an abundant number, since it is smaller than the sum of its proper divisors (140823630966).

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

99990006666 is a wasteful number, since it uses less digits than its factorization.

99990006666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28628.

The product of its (nonzero) digits is 8503056, while the sum is 60.

The spelling of 99990006666 in words is "ninety-nine billion, nine hundred ninety million, six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 101 102 186 187 202 303 341 374 527 561 606 682 1023 1054 1111 1122 1581 1717 2046 2222 3131 3162 3333 3434 5151 5797 6262 6666 9393 10302 11594 17391 18786 18887 28463 34441 34782 37774 53227 56661 56926 68882 85389 103323 106454 113322 159681 170778 206646 313093 319362 483871 585497 626186 882353 939279 967742 1170994 1451613 1756491 1764706 1878558 2647059 2874763 2903226 3512982 5294118 5322581 5749526 8624289 9705883 10645162 15000001 15967743 17248578 19411766 29117649 30000002 31622393 31935486 45000003 48870971 58235298 63244786 89117653 90000006 94867179 97741942 146612913 165000011 178235306 189734358 267352959 293225826 330000022 495000033 534705918 537580681 980294183 990000066 1075161362 1515000101 1612742043 1960588366 2940882549 3030000202 3225484086 4545000303 5881765098 9090000606 16665001111 33330002222 49995003333 99990006666