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86720467442166 = 232107349911141619
BaseRepresentation
bin10011101101111100101110…
…101010000001100111110110
3102101001101200110222202121200
4103231330232222001213312
542331312004131122131
6504234455513153330
724160230011625225
oct2355745652014766
9371041613882550
1086720467442166
11256a4a42089448
1298870110bb846
133950921b2c66c
14175b41608ccbc
15a05be977b2e6
hex4edf2ea819f6

86720467442166 has 96 divisors (see below), whose sum is σ = 190403898048000. Its totient is φ = 28523066120640.

The previous prime is 86720467442143. The next prime is 86720467442201. The reversal of 86720467442166 is 66124476402768.

86720467442166 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 0 + 467 + 4 + 4 + 2 + 166 = 666.

It is a Curzon number.

It is a congruent number.

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, 612279705 + ... + 612421323.

It is an arithmetic number, because the mean of its divisors is an integer number (1983373938000).

Almost surely, 286720467442166 is an apocalyptic number.

86720467442166 is an abundant number, since it is smaller than the sum of its proper divisors (103683430605834).

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

86720467442166 is a wasteful number, since it uses less digits than its factorization.

86720467442166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142994 (or 142991 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 86720467442166 in words is "eighty-six trillion, seven hundred twenty billion, four hundred sixty-seven million, four hundred forty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 107 214 321 349 642 698 911 963 1047 1822 1926 2094 2733 3141 5466 6282 8199 16398 37343 74686 97477 112029 141619 194954 224058 283238 292431 317939 336087 424857 584862 635878 672174 849714 877293 953817 1274571 1754586 1907634 2549142 2861451 5722902 15153233 30306466 34019473 45459699 49425031 68038946 90919398 98850062 102058419 129014909 136379097 148275093 204116838 258029818 272758194 296550186 306175257 387044727 444825279 612350514 774089454 889650558 1161134181 2322268362 5288478317 10576956634 13804595263 15865434951 27609190526 31730869902 41413785789 45026203241 47596304853 82827571578 90052406482 95192609706 124241357367 135078609723 248482714734 270157219446 405235829169 810471658338 4817803746787 9635607493574 14453411240361 28906822480722 43360233721083 86720467442166