Search a number
-
+
161566505065656 = 233241350591561117
BaseRepresentation
bin100100101111000110100010…
…001001000101110010111000
3210012001121101112100120020100
4210233012202021011302320
5132134101200244100111
61331342343333155400
746013536416505155
oct4457064211056270
9705047345316210
10161566505065656
1147530a74096849
121615480778bb60
136c1c86b470692
142bc7c0958b22c
1513a2ab00c1756
hex92f1a2245cb8

161566505065656 has 96 divisors (see below), whose sum is σ = 448261608085200. Its totient is φ = 52540420538880.

The previous prime is 161566505065601. The next prime is 161566505065663. The reversal of 161566505065656 is 656560505665161.

161566505065656 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 6 + 6 + 505 + 0 + 65 + 65 + 6 = 666.

It is a super-2 number, since 2×1615665050656562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161566505065593 and 161566505065602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102713610 + ... + 104274726.

Almost surely, 2161566505065656 is an apocalyptic number.

It is an amenable number.

161566505065656 is an abundant number, since it is smaller than the sum of its proper divisors (286695103019544).

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

161566505065656 is a wasteful number, since it uses less digits than its factorization.

161566505065656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596229 (or 1596222 counting only the distinct ones).

The product of its (nonzero) digits is 145800000, while the sum is 63.

The spelling of 161566505065656 in words is "one hundred sixty-one trillion, five hundred sixty-six billion, five hundred five million, sixty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 35059 70118 105177 140236 210354 280472 315531 420708 631062 841416 1262124 1437419 1561117 2524248 2874838 3122234 4312257 4683351 5749676 6244468 8624514 9366702 11499352 12488936 12936771 14050053 17249028 18733404 25873542 28100106 34498056 37466808 51747084 56200212 64005797 103494168 112400424 128011594 192017391 256023188 384034782 512046376 576052173 768069564 1152104346 1536139128 2304208692 4608417384 54731200903 109462401806 164193602709 218924803612 328387205418 437849607224 492580808127 656774410836 985161616254 1313548821672 1970323232508 2243979237023 3940646465016 4487958474046 6731937711069 8975916948092 13463875422138 17951833896184 20195813133207 26927750844276 40391626266414 53855501688552 80783252532828 161566505065656