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687359342120 = 2351121929373691
BaseRepresentation
bin10100000000010011100…
…11110011011000101000
32102201012020212102222212
422000021303303120220
542230202442421440
61243434000104252
7100442256002363
oct12001163633050
92381166772885
10687359342120
1124556447a300
12b126b305088
134ca82672719
14253a85990da
1512d2e487465
hexa009cf3628

687359342120 has 384 divisors, whose sum is σ = 1858759056000. Its totient is φ = 227685427200.

The previous prime is 687359342107. The next prime is 687359342167. The reversal of 687359342120 is 21243953786.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 994730975 + ... + 994731665.

It is an arithmetic number, because the mean of its divisors is an integer number (4840518375).

It is a 1-persistent number, because it is pandigital, but 2⋅687359342120 = 1374718684240 is not.

Almost surely, 2687359342120 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 687359342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929379528000).

687359342120 is an abundant number, since it is smaller than the sum of its proper divisors (1171399713880).

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

687359342120 is a wasteful number, since it uses less digits than its factorization.

687359342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 687359342120 in words is "six hundred eighty-seven billion, three hundred fifty-nine million, three hundred forty-two thousand, one hundred twenty".