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768065279820 = 223512801087997
BaseRepresentation
bin10110010110101000100…
…00100001011101001100
32201102111210022212110120
423023110100201131030
5100040444202423240
61344502212304540
7106330242105366
oct13132420413514
92642453285416
10768065279820
11276809910873
12104a33612150
1357574b15447
1429262db5d36
1514ea48ecad0
hexb2d442174c

768065279820 has 24 divisors (see below), whose sum is σ = 2150582783664. Its totient is φ = 204817407936.

The previous prime is 768065279801. The next prime is 768065279827. The reversal of 768065279820 is 28972560867.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 12801087997 = 768065279820 / (7 + 6 + 8 + 0 + 6 + 5 + 2 + 7 + 9 + 8 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (768065279827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6400543939 + ... + 6400544058.

It is an arithmetic number, because the mean of its divisors is an integer number (89607615986).

Almost surely, 2768065279820 is an apocalyptic number.

It is an amenable number.

768065279820 is an abundant number, since it is smaller than the sum of its proper divisors (1382517503844).

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

768065279820 is a wasteful number, since it uses less digits than its factorization.

768065279820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801088009 (or 12801088007 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 768065279820 in words is "seven hundred sixty-eight billion, sixty-five million, two hundred seventy-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 12801087997 25602175994 38403263991 51204351988 64005439985 76806527982 128010879970 153613055964 192016319955 256021759940 384032639910 768065279820