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689137328880 = 24325721113235939
BaseRepresentation
bin10100000011100111100…
…10010010001011110000
32102212210011110112022100
422001303302102023300
542242323124011010
61244330232340400
7100534315434300
oct12016362221360
92385704415270
10689137328880
11246297069050
12b1686844700
134cca6b25bb0
14254d6781600
1512dd55e32c0
hexa073c922f0

689137328880 has 1440 divisors, whose sum is σ = 3300943726080. Its totient is φ = 126413844480.

The previous prime is 689137328839. The next prime is 689137328909. The reversal of 689137328880 is 88823731986.

It is a super-2 number, since 2×6891373288802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 116032951 + ... + 116038889.

It is an arithmetic number, because the mean of its divisors is an integer number (2292322032).

Almost surely, 2689137328880 is an apocalyptic number.

689137328880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689137328880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650471863040).

689137328880 is an abundant number, since it is smaller than the sum of its proper divisors (2611806397200).

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

689137328880 is a wasteful number, since it uses less digits than its factorization.

689137328880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6003 counting only the distinct ones).

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

The spelling of 689137328880 in words is "six hundred eighty-nine billion, one hundred thirty-seven million, three hundred twenty-eight thousand, eight hundred eighty".