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6440763768 = 233461582137
BaseRepresentation
bin1011111111110011…
…00100000101111000
3121121212102200220020
411333321210011320
5101142313420033
62543035530440
7315415405635
oct57771440570
917555380806
106440763768
11280570916a
1212b8bb9a20
137b84b072a
1445158518c
1527a69e6b3
hex17fe64178

6440763768 has 32 divisors (see below), whose sum is σ = 16136865360. Its totient is φ = 2142260480.

The previous prime is 6440763767. The next prime is 6440763781. The reversal of 6440763768 is 8673670446.

It is a self number, because there is not a number n which added to its sum of digits gives 6440763768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440763767) 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, 280005 + ... + 302132.

Almost surely, 26440763768 is an apocalyptic number.

It is an amenable number.

6440763768 is an abundant number, since it is smaller than the sum of its proper divisors (9696101592).

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

6440763768 is a wasteful number, since it uses less digits than its factorization.

6440763768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582607 (or 582603 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The square root of 6440763768 is about 80254.3691520904. The cubic root of 6440763768 is about 1860.5690408304.

The spelling of 6440763768 in words is "six billion, four hundred forty million, seven hundred sixty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 461 922 1383 1844 2766 3688 5532 11064 582137 1164274 1746411 2328548 3492822 4657096 6985644 13971288 268365157 536730314 805095471 1073460628 1610190942 2146921256 3220381884 6440763768