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86231040612740 = 225291072380158379
BaseRepresentation
bin10011100110110100111010…
…100010110101100110000100
3102022022121101111001202201022
4103212310322202311212010
542300302132344101430
6503221554305450312
724106662400335002
oct2346647242654604
9368277344052638
1086231040612740
1125526419429551
1298081a1040998
133916724362b4a
14174186718da72
159e8101ec44e5
hex4e6d3a8b5984

86231040612740 has 96 divisors (see below), whose sum is σ = 189091428220800. Its totient is φ = 32989828121600.

The previous prime is 86231040612721. The next prime is 86231040612751. The reversal of 86231040612740 is 4721604013268.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86231040612691 and 86231040612700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1477060871 + ... + 1477119249.

It is an arithmetic number, because the mean of its divisors is an integer number (1969702377300).

Almost surely, 286231040612740 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 86231040612740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94545714110400).

86231040612740 is an abundant number, since it is smaller than the sum of its proper divisors (102860387608060).

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

86231040612740 is a wasteful number, since it uses less digits than its factorization.

86231040612740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82325 (or 82323 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 86231040612740 in words is "eighty-six trillion, two hundred thirty-one billion, forty million, six hundred twelve thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 107 116 145 214 290 428 535 580 1070 2140 3103 6206 12412 15515 23801 31030 47602 58379 62060 95204 116758 119005 233516 238010 291895 476020 583790 690229 1167580 1380458 1692991 2546707 2760916 3385982 3451145 5093414 6246553 6771964 6902290 8464955 10186828 12493106 12733535 13804580 16929910 24986212 25467070 31232765 33859820 50934140 62465530 73854503 124931060 147709006 181150037 295418012 362300074 369272515 724600148 738545030 905750185 1389478579 1477090060 1811500370 2778957158 3623000740 5557914316 6947392895 13894785790 27789571580 40294878791 80589757582 148674207953 161179515164 201474393955 297348415906 402948787910 594696831812 743371039765 805897575820 1486742079530 2973484159060 4311552030637 8623104061274 17246208122548 21557760153185 43115520306370 86231040612740