Search a number
-
+
5161727302137 = 3272313741248891
BaseRepresentation
bin100101100011100111011…
…1011000001100111111001
3200021110022122120022111100
41023013032323001213321
51134032204142132022
614551133105522013
71041631262101500
oct113071673014771
920243278508440
105161727302137
11171009255034a
126b4464043309
132b5997149453
1413bb8684b837
158e405b571ac
hex4b1ceec19f9

5161727302137 has 144 divisors (see below), whose sum is σ = 9419156457984. Its totient is φ = 2709516096000.

The previous prime is 5161727302103. The next prime is 5161727302139. The reversal of 5161727302137 is 7312037271615.

5161727302137 is a `hidden beast` number, since 5 + 1 + 617 + 2 + 7 + 3 + 0 + 21 + 3 + 7 = 666.

5161727302137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5161727302137 - 210 = 5161727301113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5161727302092 and 5161727302101.

It is not an unprimeable number, because it can be changed into a prime (5161727302139) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20614462 + ... + 20863352.

It is an arithmetic number, because the mean of its divisors is an integer number (65410808736).

Almost surely, 25161727302137 is an apocalyptic number.

It is an amenable number.

5161727302137 is a deficient number, since it is larger than the sum of its proper divisors (4257429155847).

5161727302137 is a wasteful number, since it uses less digits than its factorization.

5161727302137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249020 (or 249010 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 5161727302137 in words is "five trillion, one hundred sixty-one billion, seven hundred twenty-seven million, three hundred two thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 31 37 41 49 63 93 111 123 147 217 259 279 287 333 369 441 651 777 861 1147 1271 1517 1519 1813 1953 2009 2331 2583 3441 3813 4551 4557 5439 6027 8029 8897 10323 10619 11439 13653 13671 16317 18081 24087 26691 31857 47027 56203 62279 72261 74333 80073 95571 141081 168609 186837 222999 248891 329189 423243 505827 560511 668997 746673 987567 1742237 2240019 2304323 2962701 5226711 6912969 7715621 9208967 10204531 12195659 15680133 20738907 23146863 27626901 30613593 36586977 54009347 64462769 69440589 71431717 82880703 91840779 109760931 162028041 193388307 214295151 285477977 316340461 377567647 378065429 451239383 486084123 500022019 580164921 642885453 856433931 949021383 1132702941 1134196287 1353718149 1500066057 1998345839 2214383227 2569301793 2642973529 2847064149 3398108823 3402588861 4061154447 4500198171 5995037517 6643149681 7928920587 11704597057 13988420873 15500682589 17985112551 18500814703 19929449043 23786761761 35113791171 41965262619 46502047767 55502444109 81932179399 105341373513 125895787857 139506143301 166507332327 245796538197 573525255793 737389614591 1720575767379 5161727302137