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86336344363368 = 233111971660058921
BaseRepresentation
bin10011101000010110111111…
…001000110001000101101000
3102022200200012021122120001110
4103220112333020301011220
542304013313124111433
6503342211414350320
724120411045421221
oct2350267710610550
9368620167576043
1086336344363368
1125567046677a30
12982468b05b3a0
133923636913168
1417469b6780248
159eac16b65963
hex4e85bf231168

86336344363368 has 64 divisors (see below), whose sum is σ = 236657999920320. Its totient is φ = 26029723865600.

The previous prime is 86336344363333. The next prime is 86336344363421.

86336344363368 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 86336344363299 and 86336344363308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829977453 + ... + 830081468.

It is an arithmetic number, because the mean of its divisors is an integer number (3697781248755).

Almost surely, 286336344363368 is an apocalyptic number.

86336344363368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86336344363368 is an abundant number, since it is smaller than the sum of its proper divisors (150321655556952).

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

86336344363368 is a wasteful number, since it uses less digits than its factorization.

86336344363368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660059138 (or 1660059134 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 66.

The spelling of 86336344363368 in words is "eighty-six trillion, three hundred thirty-six billion, three hundred forty-four million, three hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 197 264 394 591 788 1182 1576 2167 2364 4334 4728 6501 8668 13002 17336 26004 52008 1660058921 3320117842 4980176763 6640235684 9960353526 13280471368 18260648131 19920707052 36521296262 39841414104 54781944393 73042592524 109563888786 146085185048 219127777572 327031607437 438255555144 654063214874 981094822311 1308126429748 1962189644622 2616252859496 3597347681807 3924379289244 7194695363614 7848758578488 10792043045421 14389390727228 21584086090842 28778781454456 43168172181684 86336344363368