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86099841000000 = 26345610312
BaseRepresentation
bin10011100100111010101110…
…011100000010001001000000
3102021212001201221211212210000
4103210322232130002021000
542241124433244000000
6503041415414440000
724064336216124262
oct2344725634021100
9367761657755700
1086099841000000
1125485812698633
1297a6886663000
133907245aa11b9
14173937c655b32
159e49c3ba0000
hex4e4eae702240

86099841000000 has 735 divisors, whose sum is σ = 319339280197861. Its totient is φ = 22937688000000.

The previous prime is 86099840999989. The next prime is 86099841000053. The reversal of 86099841000000 is 14899068.

The square root of 86099841000000 is 9279000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 75431726300736 + 10668114699264 = 8685144^2 + 3266208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86099841000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 83510999485 + ... + 83511000515.

Almost surely, 286099841000000 is an apocalyptic number.

86099841000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86099841000000 is the 9279000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86099841000000

86099841000000 is an abundant number, since it is smaller than the sum of its proper divisors (233239439197861).

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

86099841000000 is an frugal number, since it uses more digits than its factorization.

86099841000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

Adding to 86099841000000 its reverse (14899068), we get a palindrome (86099855899068).

The spelling of 86099841000000 in words is "eighty-six trillion, ninety-nine billion, eight hundred forty-one million", and thus it is an aban number.