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689678108064 = 253411199121553
BaseRepresentation
bin10100000100101000000…
…01001100010110100000
32102221011212000221220000
422002110001030112200
542244430043424224
61244500031220000
7100553603123061
oct12022401142640
92387155027800
10689678108064
112465443484a0
12b17b7977600
1350061b8838a
1425548510568
1512e17d140c9
hexa09404c5a0

689678108064 has 240 divisors, whose sum is σ = 2223854740800. Its totient is φ = 207941437440.

The previous prime is 689678108047. The next prime is 689678108069. The reversal of 689678108064 is 460801876986.

It is a junction number, because it is equal to n+sod(n) for n = 689678107992 and 689678108010.

It is not an unprimeable number, because it can be changed into a prime (689678108069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5613112 + ... + 5734664.

It is an arithmetic number, because the mean of its divisors is an integer number (9266061420).

Almost surely, 2689678108064 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 689678108064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111927370400).

689678108064 is an abundant number, since it is smaller than the sum of its proper divisors (1534176632736).

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

689678108064 is a wasteful number, since it uses less digits than its factorization.

689678108064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121785 (or 121768 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 689678108064 in words is "six hundred eighty-nine billion, six hundred seventy-eight million, one hundred eight thousand, sixty-four".