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690775240064 = 27713215130211
BaseRepresentation
bin10100000110101010110…
…10011010110110000000
32110001000022111001001112
422003111122122312000
542304201430140224
61245200542422452
7100623024442460
oct12032532326600
92401008431045
10690775240064
11246a57683a58
12b1a63291a28
13501a8273800
1425610103ba0
1512e7e2d030e
hexa0d569ad80

690775240064 has 192 divisors, whose sum is σ = 1714369063680. Its totient is φ = 271454976000.

The previous prime is 690775240013. The next prime is 690775240121. The reversal of 690775240064 is 460042577096.

It is a junction number, because it is equal to n+sod(n) for n = 690775239994 and 690775240021.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22849919 + ... + 22880129.

It is an arithmetic number, because the mean of its divisors is an integer number (8929005540).

Almost surely, 2690775240064 is an apocalyptic number.

690775240064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690775240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857184531840).

690775240064 is an abundant number, since it is smaller than the sum of its proper divisors (1023593823616).

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

690775240064 is a wasteful number, since it uses less digits than its factorization.

690775240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30409 (or 30384 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 690775240064 in words is "six hundred ninety billion, seven hundred seventy-five million, two hundred forty thousand, sixty-four".