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86542723887830 = 257171153211129879
BaseRepresentation
bin10011101011010111001100…
…010100001011001011010110
3102100102101220020010122220122
4103223113030110023023112
542320403444303402310
6504021102320031542
724141335242426010
oct2353271424131326
9370371806118818
1086542723887830
112563662151a2a1
1298586871625b2
133939c36820982
141752993c251b0
15a012951de555
hex4eb5cc50b2d6

86542723887830 has 128 divisors (see below), whose sum is σ = 188762322862080. Its totient is φ = 27888020029440.

The previous prime is 86542723887727. The next prime is 86542723887839. The reversal of 86542723887830 is 3878832724568.

It is a super-3 number, since 3×865427238878303 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86542723887839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2896424831 + ... + 2896454709.

It is an arithmetic number, because the mean of its divisors is an integer number (1474705647360).

Almost surely, 286542723887830 is an apocalyptic number.

86542723887830 is an abundant number, since it is smaller than the sum of its proper divisors (102219598974250).

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

86542723887830 is a wasteful number, since it uses less digits than its factorization.

86542723887830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33174.

The product of its (nonzero) digits is 867041280, while the sum is 71.

The spelling of 86542723887830 in words is "eighty-six trillion, five hundred forty-two billion, seven hundred twenty-three million, eight hundred eighty-seven thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1153 1190 2111 2306 4222 5765 8071 10555 11530 14777 16142 19601 21110 29554 29879 35887 39202 40355 59758 71774 73885 80710 98005 137207 147770 149395 179435 196010 209153 251209 274414 298790 358870 418306 502418 507943 686035 1015886 1045765 1256045 1372070 2091530 2433983 2512090 2539715 3555601 4867966 5079430 7111202 12169915 17037881 17778005 24339830 34075762 34450487 35556010 41377711 63074569 68900974 82755422 85189405 126149138 170378810 172252435 206888555 241153409 289643977 315372845 344504870 413777110 441521983 482306818 579287954 585658279 630745690 883043966 1072267673 1171316558 1205767045 1448219885 2144535346 2207609915 2411534090 2896439770 2928291395 4099607953 4415219830 5361338365 5856582790 7505873711 8199215906 10722676730 15011747422 20498039765 37529368555 40996079530 72724978057 75058737110 145449956114 363624890285 509074846399 727249780570 1018149692798 1236324626969 2472649253938 2545374231995 5090748463990 6181623134845 8654272388783 12363246269690 17308544777566 43271361943915 86542723887830