Search a number
-
+
93666152111112 = 23337411411505761
BaseRepresentation
bin10101010011000001011001…
…101110010101110000001000
3110021122101201012002001001000
4111103001121232111300020
544234111234420023422
6531113345232455000
725505104365324540
oct2523013156256010
9407571635061030
1093666152111112
1127932656aa4639
12a6091649aa460
1340358ac65b839
14191b6747da320
15ac6711823cac
hex553059b95c08

93666152111112 has 128 divisors (see below), whose sum is σ = 297360288979200. Its totient is φ = 26761089484800.

The previous prime is 93666152111101. The next prime is 93666152111173. The reversal of 93666152111112 is 21111125166639.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61452312 + ... + 62958072.

It is an arithmetic number, because the mean of its divisors is an integer number (2323127257650).

Almost surely, 293666152111112 is an apocalyptic number.

It is an amenable number.

93666152111112 is an abundant number, since it is smaller than the sum of its proper divisors (203694136868088).

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

93666152111112 is a wasteful number, since it uses less digits than its factorization.

93666152111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546924 (or 1546914 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 93666152111112 in words is "ninety-three trillion, six hundred sixty-six billion, one hundred fifty-two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 41141 82282 123423 164564 246846 287987 329128 370269 493692 575974 740538 863961 987384 1110807 1151948 1481076 1505761 1727922 2221614 2303896 2591883 2962152 3011522 3455844 4443228 4517283 5183766 6023044 6911688 7775649 8886456 9034566 10367532 10540327 12046088 13551849 15551298 18069132 20735064 21080654 27103698 31102596 31620981 36138264 40655547 42161308 54207396 62205192 63241962 81311094 84322616 94862943 108414792 126483924 162622188 189725886 252967848 284588829 325244376 379451772 569177658 758903544 1138355316 2276710632 61948513301 123897026602 185845539903 247794053204 371691079806 433639593107 495588106408 557536619709 743382159612 867279186214 1115073239418 1300918779321 1486764319224 1672609859127 1734558372428 2230146478836 2601837558642 3345219718254 3469116744856 3902756337963 4460292957672 5203675117284 6690439436508 7805512675926 10407350234568 11708269013889 13380878873016 15611025351852 23416538027778 31222050703704 46833076055556 93666152111112