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116024000360 = 23516657174137
BaseRepresentation
bin110110000001110010…
…0011011111101101000
3102002110220121220100112
41230003210123331220
53400104121002420
6125144540553452
711245116505502
oct1540344337550
9362426556315
10116024000360
1145229583804
121a5a0252888
13ac30549b68
14588927cd72
153040dc18c5
hex1b0391bf68

116024000360 has 32 divisors (see below), whose sum is σ = 261071172360. Its totient is φ = 46406547456.

The previous prime is 116024000189. The next prime is 116024000363. The reversal of 116024000360 is 63000420611.

It is a happy number.

116024000360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 113155540996 + 2868459364 = 336386^2 + 53558^2 .

It is not an unprimeable number, because it can be changed into a prime (116024000363) 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 7 ways as a sum of consecutive naturals, for example, 579212 + ... + 753348.

Almost surely, 2116024000360 is an apocalyptic number.

116024000360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116024000360 is an abundant number, since it is smaller than the sum of its proper divisors (145047172000).

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

116024000360 is a wasteful number, since it uses less digits than its factorization.

116024000360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190805 (or 190801 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 116024000360 its reverse (63000420611), we get a palindrome (179024420971).

The spelling of 116024000360 in words is "one hundred sixteen billion, twenty-four million, three hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 16657 33314 66628 83285 133256 166570 174137 333140 348274 666280 696548 870685 1393096 1741370 3482740 6965480 2900600009 5801200018 11602400036 14503000045 23204800072 29006000090 58012000180 116024000360