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7568120064 = 28382911887
BaseRepresentation
bin1110000110001100…
…00101100100000000
3201112102202100000010
413003012011210000
5110444414320224
63250551024520
7355354646661
oct70306054400
921472670003
107568120064
11323400868a
12157266b140
13937c1bc6b
1451b1a5368
152e463ae29
hex1c3185900

7568120064 has 72 divisors (see below), whose sum is σ = 20168229760. Its totient is φ = 2519451648.

The previous prime is 7568120003. The next prime is 7568120069. The reversal of 7568120064 is 4600218657.

It is not an unprimeable number, because it can be changed into a prime (7568120069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630729 + ... + 642615.

Almost surely, 27568120064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7568120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084114880).

7568120064 is an abundant number, since it is smaller than the sum of its proper divisors (12600109696).

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

7568120064 is a wasteful number, since it uses less digits than its factorization.

7568120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 7568120064 is about 86994.9427495645. The cubic root of 7568120064 is about 1963.3422137267.

The spelling of 7568120064 in words is "seven billion, five hundred sixty-eight million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 829 1658 2487 3316 4974 6632 9948 11887 13264 19896 23774 26528 35661 39792 47548 53056 71322 79584 95096 106112 142644 159168 190192 212224 285288 318336 380384 570576 636672 760768 1141152 1521536 2282304 3043072 4564608 9129216 9854323 19708646 29562969 39417292 59125938 78834584 118251876 157669168 236503752 315338336 473007504 630676672 946015008 1261353344 1892030016 2522706688 3784060032 7568120064