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42876014561064 = 23321724021351241
BaseRepresentation
bin10011011111110110110011…
…00111100000011100101000
312121210220111011201101211200
421233323121213200130220
521104440034211423224
6231104545201324200
712013455416335656
oct1157733147403450
9177726434641750
1042876014561064
1112730685498443
1249857aa636660
131ac02633194c9
14a832d2a25dd6
154e548465e5c9
hex26fed99e0728

42876014561064 has 144 divisors (see below), whose sum is σ = 123360560098620. Its totient is φ = 13450701680640.

The previous prime is 42876014561011. The next prime is 42876014561119. The reversal of 42876014561064 is 46016541067824.

42876014561064 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 6 + 0 + 14 + 5 + 610 + 6 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30631907852100 + 12244106708964 = 5534610^2 + 3499158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42876014561064.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 836726484 + ... + 836777724.

Almost surely, 242876014561064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42876014561064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61680280049310).

42876014561064 is an abundant number, since it is smaller than the sum of its proper divisors (80484545537556).

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

42876014561064 is a wasteful number, since it uses less digits than its factorization.

42876014561064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91500 (or 91476 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 42876014561064 in words is "forty-two trillion, eight hundred seventy-six billion, fourteen million, five hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 40213 51241 80426 102482 120639 153723 160852 204964 241278 307446 321704 361917 409928 461169 482556 614892 683621 723834 871097 922338 965112 1229784 1367242 1447668 1742194 1844676 2050863 2613291 2734484 2895336 3484388 3689352 4101726 5226582 5468968 6152589 6968776 7839873 8203452 10453164 11621557 12305178 14808649 15679746 16406904 20906328 23243114 24610356 29617298 31359492 34864671 44425947 46486228 49220712 59234596 62718984 69729342 88851894 92972456 104594013 118469192 133277841 139458684 177703788 209188026 266555682 278917368 355407576 418376052 533111364 836752104 1066222728 2060554333 4121108666 6181662999 8242217332 12363325998 16484434664 18544988997 24726651996 35029423661 37089977994 49453303992 70058847322 74179955988 105088270983 140117694644 148359911976 210176541966 280235389288 315264812949 420353083932 595500202237 630529625898 840706167864 1191000404474 1261059251796 1786500606711 2382000808948 2522118503592 3573001213422 4764001617896 5359501820133 7146002426844 10719003640266 14292004853688 21438007280532 42876014561064