Search a number
-
+
86649944994668 = 221119432360715541
BaseRepresentation
bin10011101100111011000011…
…001100001111001101101100
3102100210122122122120020111202
4103230323003030033031230
542324133041404312133
6504142234000305032
724152152262000066
oct2354730314171554
9370718578506452
1086649944994668
1125678042a98890
12987540b312178
1339470933a07a3
141757c45d1a736
15a03e6d36b2e8
hex4ecec330f36c

86649944994668 has 144 divisors (see below), whose sum is σ = 178333662608640. Its totient is φ = 36433171958400.

The previous prime is 86649944994643. The next prime is 86649944994713.

86649944994668 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5575562978 + ... + 5575578518.

It is an arithmetic number, because the mean of its divisors is an integer number (1238428212560).

Almost surely, 286649944994668 is an apocalyptic number.

It is an amenable number.

86649944994668 is an abundant number, since it is smaller than the sum of its proper divisors (91683717613972).

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

86649944994668 is a wasteful number, since it uses less digits than its factorization.

86649944994668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19268 (or 19223 counting only the distinct ones).

The product of its digits is 139314069504, while the sum is 92.

The spelling of 86649944994668 in words is "eighty-six trillion, six hundred forty-nine billion, nine hundred forty-four million, nine hundred ninety-four thousand, six hundred sixty-eight".

Divisors: 1 2 4 11 19 22 38 43 44 76 86 172 209 418 473 817 836 946 1634 1849 1892 3268 3607 3698 7214 7396 8987 14428 15541 17974 20339 31082 35131 35948 39677 40678 62164 68533 70262 79354 81356 137066 140524 155101 158708 170951 274132 295279 310202 341902 386441 590558 620404 668263 683804 753863 772882 1181116 1336526 1507726 1545764 1706111 2673052 2946919 3015452 3248069 3412222 5893838 6496138 6669343 6824444 7350893 11787676 12696997 12992276 13338686 14701786 25393994 26677372 28735309 29403572 32416109 50787988 56056387 57470618 64832218 73362773 112112774 114941236 126717517 129664436 139666967 146725546 224225548 253435034 279333934 293451092 316088399 506870068 545970871 558667868 616620257 632176798 1065071353 1091941742 1233240514 1264353596 1393892687 2130142706 2183883484 2410424641 2466481028 2787785374 4260285412 4820849282 5575570748 6005679581 9641698564 11715784883 12011359162 23431569766 24022718324 26514671051 45798068179 46863139532 53029342102 91596136358 103648259563 106058684204 183192272716 207296519126 414593038252 503778749969 1007557499938 1140130855193 1969316931697 2015114999876 2280261710386 3938633863394 4560523420772 7877267726788 21662486248667 43324972497334 86649944994668