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86023010000 = 24548602301
BaseRepresentation
bin101000000011101011…
…1101111011011010000
322020001002110200110102
41100013113233123100
52402133342310000
6103303551351532
76133505343344
oct1200727573320
9266032420412
1086023010000
11335338236a4
1214808b225a8
13815bbc9065
144240a57624
15238714e3d5
hex14075ef6d0

86023010000 has 50 divisors (see below), whose sum is σ = 208270333722. Its totient is φ = 34409200000.

The previous prime is 86023009999. The next prime is 86023010009. The reversal of 86023010000 is 1032068.

It can be written as a sum of positive squares in 5 ways, for example, as 36310064704 + 49712945296 = 190552^2 + 222964^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86023010009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4291151 + ... + 4311150.

Almost surely, 286023010000 is an apocalyptic number.

86023010000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86023010000 is an abundant number, since it is smaller than the sum of its proper divisors (122247323722).

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

86023010000 is an equidigital number, since it uses as much as digits as its factorization.

86023010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602329 (or 8602308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 86023010000 its reverse (1032068), we get a palindrome (86024042068).

The spelling of 86023010000 in words is "eighty-six billion, twenty-three million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 8602301 17204602 34409204 43011505 68818408 86023010 137636816 172046020 215057525 344092040 430115050 688184080 860230100 1075287625 1720460200 2150575250 3440920400 4301150500 5376438125 8602301000 10752876250 17204602000 21505752500 43011505000 86023010000