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680487587028648 = 233371514318969011
BaseRepresentation
bin1001101010111001100101110…
…0111001100001111010101000
310022020101222101221202122001000
42122232121130321201322220
51203143102034234404043
610411135403135155000
7263222414525635260
oct23256313471417250
93266358357678030
10680487587028648
1118790818a66a473
12643a3078075a60
132329191cc21639
14c007abc6487a0
1553a109cae22d3
hex26ae65ce61ea8

680487587028648 has 256 divisors, whose sum is σ = 2174666393088000. Its totient is φ = 193130171424000.

The previous prime is 680487587028631. The next prime is 680487587028721. The reversal of 680487587028648 is 846820785784086.

680487587028648 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 8 + 7 + 587 + 0 + 28 + 6 + 4 + 8 = 666.

It is a Cunningham number, because it is equal to 260861572-1.

It is a super-2 number, since 2×6804875870286482 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9860532463 + ... + 9860601473.

It is an arithmetic number, because the mean of its divisors is an integer number (8494790598000).

Almost surely, 2680487587028648 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 680487587028648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087333196544000).

680487587028648 is an abundant number, since it is smaller than the sum of its proper divisors (1494178806059352).

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

680487587028648 is a wasteful number, since it uses less digits than its factorization.

680487587028648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112373 (or 112363 counting only the distinct ones).

The product of its (nonzero) digits is 9248440320, while the sum is 81.

The spelling of 680487587028648 in words is "six hundred eighty trillion, four hundred eighty-seven billion, five hundred eighty-seven million, twenty-eight thousand, six hundred forty-eight".