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86321485381340 = 225113494992253047
BaseRepresentation
bin10011101000001001001001…
…011110001111111011011100
3102022122020211201212001122202
4103220021021132033323130
542303242400224200330
6503331313135031032
724116343610232006
oct2350111136177334
9368566751761582
1086321485381340
11255608111128a0
12982182296b478
13392210936c8c1
141745da7187376
159ea647409445
hex4e824978fedc

86321485381340 has 96 divisors (see below), whose sum is σ = 198718833600000. Its totient is φ = 31236950718720.

The previous prime is 86321485381309. The next prime is 86321485381361. The reversal of 86321485381340 is 4318358412368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37186697 + ... + 39439743.

It is an arithmetic number, because the mean of its divisors is an integer number (2069987850000).

Almost surely, 286321485381340 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 86321485381340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99359416800000).

86321485381340 is an abundant number, since it is smaller than the sum of its proper divisors (112397348218660).

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

86321485381340 is a wasteful number, since it uses less digits than its factorization.

86321485381340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253915 (or 2253913 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 86321485381340 in words is "eighty-six trillion, three hundred twenty-one billion, four hundred eighty-five million, three hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 349 499 698 998 1396 1745 1996 2495 3490 3839 4990 5489 6980 7678 9980 10978 15356 19195 21956 27445 38390 54890 76780 109780 174151 348302 696604 870755 1741510 1915661 2253047 3483020 3831322 4506094 7662644 9012188 9578305 11265235 19156610 22530470 24783517 38313220 45060940 49567034 99134068 123917585 247835170 495670340 786313403 1124270453 1572626806 2248540906 3145253612 3931567015 4497081812 5621352265 7863134030 8649447433 11242704530 12366974983 15726268060 17298894866 22485409060 24733949966 34597789732 43247237165 49467899932 61834874915 86494474330 123669749830 172988948660 247339499660 392370388097 784740776194 1569481552388 1961851940485 3923703880970 4316074269067 7847407761940 8632148538134 17264297076268 21580371345335 43160742690670 86321485381340