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988680000 = 26354711107
BaseRepresentation
bin111010111011100…
…000111101000000
32112220101010222210
4322323200331000
54011100230000
6242034502120
733333432660
oct7273407500
92486333883
10988680000
114680a1a10
12237134940
13129aa5869
14954421a0
155bbe7350
hex3aee0f40

988680000 has 560 divisors, whose sum is σ = 4113483264. Its totient is φ = 203520000.

The previous prime is 988679983. The next prime is 988680019. The reversal of 988680000 is 86889.

988680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9239947 + ... + 9240053.

Almost surely, 2988680000 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 988680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056741632).

988680000 is an abundant number, since it is smaller than the sum of its proper divisors (3124803264).

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

988680000 is a wasteful number, since it uses less digits than its factorization.

988680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 988680000 is about 31443.2822714169. The cubic root of 988680000 is about 996.2123383993.

The spelling of 988680000 in words is "nine hundred eighty-eight million, six hundred eighty thousand".