Search a number
-
+
18306965672016 = 2437173798456467
BaseRepresentation
bin1000010100110011011000…
…01011111001000001010000
32101211010110220200111002020
410022121230023321001100
54344420131203001031
6102534034240451440
73566430450462660
oct412315413710120
971733426614066
1018306965672016
115918a38950a8a
122078019919b80
13a2a454a252a8
144740c1a921a0
1521b315d50096
hex10a66c2f9050

18306965672016 has 160 divisors (see below), whose sum is σ = 57379503191040. Its totient is φ = 4909891811328.

The previous prime is 18306965672011. The next prime is 18306965672057. The reversal of 18306965672016 is 61027656960381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18306965672011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063386 + ... + 6393081.

It is an arithmetic number, because the mean of its divisors is an integer number (358621894944).

Almost surely, 218306965672016 is an apocalyptic number.

18306965672016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18306965672016 is an abundant number, since it is smaller than the sum of its proper divisors (39072537519024).

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

18306965672016 is a wasteful number, since it uses less digits than its factorization.

18306965672016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8456881 (or 8456875 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 18306965672016 in words is "eighteen trillion, three hundred six billion, nine hundred sixty-five million, six hundred seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 379 408 476 714 758 816 952 1137 1428 1516 1904 2274 2653 2856 3032 4548 5306 5712 6064 6443 7959 9096 10612 12886 15918 18192 19329 21224 25772 31836 38658 42448 45101 51544 63672 77316 90202 103088 127344 135303 154632 180404 270606 309264 360808 541212 721616 1082424 2164848 8456467 16912934 25369401 33825868 50738802 59195269 67651736 101477604 118390538 135303472 143759939 177585807 202955208 236781076 287519878 355171614 405910416 431279817 473562152 575039756 710343228 862559634 947124304 1006319573 1150079512 1420686456 1725119268 2012639146 2300159024 2841372912 3018958719 3205000993 3450238536 4025278292 6037917438 6410001986 6900477072 8050556584 9615002979 12075834876 12820003972 16101113168 19230005958 22435006951 24151669752 25640007944 38460011916 44870013902 48303339504 51280015888 54485016881 67305020853 76920023832 89740027804 108970033762 134610041706 153840047664 163455050643 179480055608 217940067524 269220083412 326910101286 358960111216 381395118167 435880135048 538440166824 653820202572 762790236334 871760270096 1076880333648 1144185354501 1307640405144 1525580472668 2288370709002 2615280810288 3051160945336 4576741418004 6102321890672 9153482836008 18306965672016