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864806200240 = 24547230001649
BaseRepresentation
bin11001001010110100111…
…01110110001110110000
310001200012211102211000011
430211122131312032300
5103132110341401430
61501141514104304
7116323463262223
oct14453235661660
93050184384004
10864806200240
11303842611174
1211b731a1b094
136372136c318
142dbdd26d5ba
151776796922a
hexc95a7763b0

864806200240 has 40 divisors (see below), whose sum is σ = 2053454731200. Its totient is φ = 338562425856.

The previous prime is 864806200217. The next prime is 864806200241. The reversal of 864806200240 is 42002608468.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 864806200193 and 864806200202.

It is not an unprimeable number, because it can be changed into a prime (864806200241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114997065 + ... + 115004584.

It is an arithmetic number, because the mean of its divisors is an integer number (51336368280).

Almost surely, 2864806200240 is an apocalyptic number.

864806200240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864806200240 is an abundant number, since it is smaller than the sum of its proper divisors (1188648530960).

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

864806200240 is a wasteful number, since it uses less digits than its factorization.

864806200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230001709 (or 230001703 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 864806200240 in words is "eight hundred sixty-four billion, eight hundred six million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 230001649 460003298 920006596 1150008245 1840013192 2300016490 3680026384 4600032980 9200065960 10810077503 18400131920 21620155006 43240310012 54050387515 86480620024 108100775030 172961240048 216201550060 432403100120 864806200240