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86080124466 = 234732953419
BaseRepresentation
bin101000000101011000…
…1100111011000110010
322020012001221101210000
41100022301213120302
52402243002440331
6103313351450430
76135100662000
oct1201261473062
9266161841700
1086080124466
1133562a93636
1214824086a16
13816a9a57bb
144248483a70
15238c1820e6
hex140ac67632

86080124466 has 160 divisors (see below), whose sum is σ = 232697520000. Its totient is φ = 23745796704.

The previous prime is 86080124371. The next prime is 86080124477. The reversal of 86080124466 is 66442108068.

86080124466 is a `hidden beast` number, since 8 + 60 + 8 + 0 + 124 + 466 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1584705 + ... + 1638123.

It is an arithmetic number, because the mean of its divisors is an integer number (1454359500).

Almost surely, 286080124466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86080124466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116348760000).

86080124466 is an abundant number, since it is smaller than the sum of its proper divisors (146617395534).

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

86080124466 is a wasteful number, since it uses less digits than its factorization.

86080124466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53483 (or 53460 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 86080124466 in words is "eighty-six billion, eighty million, one hundred twenty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 81 87 98 126 147 162 174 189 203 261 294 343 378 406 441 522 567 609 686 783 882 1029 1134 1218 1323 1421 1566 1827 2058 2349 2646 2842 3087 3654 3969 4263 4698 5481 6174 7938 8526 9261 9947 10962 12789 16443 18522 19894 25578 27783 29841 32886 38367 53419 55566 59682 76734 89523 106838 115101 160257 179046 230202 268569 320514 373933 480771 537138 747866 805707 961542 1121799 1442313 1549151 1611414 2243598 2617531 2884626 3098302 3365397 4326939 4647453 5235062 6730794 7852593 8653878 9294906 10096191 10844057 13942359 15705186 18322717 20192382 21688114 23557779 27884718 30288573 32532171 36645434 41827077 47115558 54968151 60577146 65064342 70673337 75908399 83654154 97596513 109936302 125481231 141346674 151816798 164904453 195193026 212020011 227725197 250962462 292789539 329808906 424040022 455450394 494713359 531358793 585579078 683175591 878368617 989426718 1062717586 1366351182 1484140077 1594076379 1756737234 2049526773 2968280154 3188152758 4099053546 4782229137 6148580319 9564458274 12297160638 14346687411 28693374822 43040062233 86080124466