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688983389886 = 231162871660433
BaseRepresentation
bin10100000011010101001…
…11000011011010111110
32102212101102210121201010
422001222213003122332
542242014221434021
61244303053100050
7100530436120461
oct12015247033276
92385342717633
10688983389886
11246218186440
12b1643187626
134cc80c7812c
14254c014d2d8
1512dc6d36976
hexa06a9c36be

688983389886 has 32 divisors (see below), whose sum is σ = 1503476494848. Its totient is φ = 208749511040.

The previous prime is 688983389837. The next prime is 688983389891.

688983389886 is nontrivially palindromic in base 10.

688983389886 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6889833898862 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 688983389799 and 688983389808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415275 + ... + 1245158.

It is an arithmetic number, because the mean of its divisors is an integer number (46983640464).

Almost surely, 2688983389886 is an apocalyptic number.

688983389886 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

688983389886 is an abundant number, since it is smaller than the sum of its proper divisors (814493104962).

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

688983389886 is a wasteful number, since it uses less digits than its factorization.

688983389886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666736.

The product of its digits is 6879707136, while the sum is 84.

The spelling of 688983389886 in words is "six hundred eighty-eight billion, nine hundred eighty-three million, three hundred eighty-nine thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 66 6287 12574 18861 37722 69157 138314 207471 414942 1660433 3320866 4981299 9962598 18264763 36529526 54794289 109588578 10439142271 20878284542 31317426813 62634853626 114830564981 229661129962 344491694943 688983389886