Search a number
-
+
15115810288656 = 2437115969318229
BaseRepresentation
bin1101101111110110110010…
…0000001011010000010000
31222112001112210211121020210
43123331230200023100100
53440124134413214111
652052035110004120
73120036604332120
oct333755440132020
958461483747223
1015115810288656
1148a8640926540
121841666346640
138585513c11bc
143a3875602c80
151b32e48be0a6
hexdbf6c80b410

15115810288656 has 160 divisors (see below), whose sum is σ = 49509852595200. Its totient is φ = 3859638935040.

The previous prime is 15115810288633. The next prime is 15115810288661. The reversal of 15115810288656 is 65688201851151.

It is a junction number, because it is equal to n+sod(n) for n = 15115810288596 and 15115810288605.

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, 34441051 + ... + 34877178.

It is an arithmetic number, because the mean of its divisors is an integer number (309436578720).

Almost surely, 215115810288656 is an apocalyptic number.

15115810288656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15115810288656 is an abundant number, since it is smaller than the sum of its proper divisors (34394042306544).

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

15115810288656 is a wasteful number, since it uses less digits than its factorization.

15115810288656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69318317 (or 69318311 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 57.

The spelling of 15115810288656 in words is "fifteen trillion, one hundred fifteen billion, eight hundred ten million, two hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 59 66 77 84 88 112 118 132 154 168 176 177 231 236 264 308 336 354 413 462 472 528 616 649 708 826 924 944 1232 1239 1298 1416 1652 1848 1947 2478 2596 2832 3304 3696 3894 4543 4956 5192 6608 7788 9086 9912 10384 13629 15576 18172 19824 27258 31152 36344 54516 72688 109032 218064 69318229 138636458 207954687 277272916 415909374 485227603 554545832 762500519 831818748 970455206 1109091664 1455682809 1525001038 1663637496 1940910412 2287501557 2911365618 3050002076 3327274992 3881820824 4089775511 4575003114 5337503633 5822731236 6100004152 7763641648 8179551022 9150006228 10675007266 11645462472 12200008304 12269326533 16012510899 16359102044 18300012456 21350014532 23290924944 24538653066 28628428577 32025021798 32718204088 36600024912 42700029064 44987530621 49077306132 57256857154 64050043596 65436408176 85400058128 85885285731 89975061242 98154612264 114513714308 128100087192 134962591863 171770571462 179950122484 196309224528 229027428616 256200174384 269925183726 314912714347 343541142924 359900244968 458054857232 539850367452 629825428694 687082285848 719800489936 944738143041 1079700734904 1259650857388 1374164571696 1889476286082 2159401469808 2519301714776 3778952572164 5038603429552 7557905144328 15115810288656