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86487718000 = 2453117136929
BaseRepresentation
bin101000010001100010…
…0011101100001110000
322021020110220021222211
41100203010131201300
52404111323434000
6103422031541504
76151150321225
oct1204304354160
9267213807884
1086487718000
11337520756a2
121491868a894
1382042754c8
14428666394c
1523b2d457ba
hex142311d870

86487718000 has 80 divisors (see below), whose sum is σ = 209311558560. Its totient is φ = 34564608000.

The previous prime is 86487717971. The next prime is 86487718003. The reversal of 86487718000 is 81778468.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86487718003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2323536 + ... + 2360464.

It is an arithmetic number, because the mean of its divisors is an integer number (2616394482).

Almost surely, 286487718000 is an apocalyptic number.

86487718000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86487718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104655779280).

86487718000 is an abundant number, since it is smaller than the sum of its proper divisors (122823840560).

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

86487718000 is a wasteful number, since it uses less digits than its factorization.

86487718000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38123 (or 38107 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The spelling of 86487718000 in words is "eighty-six billion, four hundred eighty-seven million, seven hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1171 2000 2342 4684 5855 9368 11710 18736 23420 29275 36929 46840 58550 73858 93680 117100 146375 147716 184645 234200 292750 295432 369290 468400 585500 590864 738580 923225 1171000 1477160 1846450 2342000 2954320 3692900 4616125 7385800 9232250 14771600 18464500 36929000 43243859 73858000 86487718 172975436 216219295 345950872 432438590 691901744 864877180 1081096475 1729754360 2162192950 3459508720 4324385900 5405482375 8648771800 10810964750 17297543600 21621929500 43243859000 86487718000