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2128523488 = 2571317193173
BaseRepresentation
bin111111011011110…
…1011000011100000
312111100012012022021
41332313223003200
513324400222423
6551113351224
7103514102560
oct17667530340
95440165267
102128523488
119a2550223
124b4a08514
1327bc96a70
14162992da0
15c6ced95d
hex7edeb0e0

2128523488 has 384 divisors, whose sum is σ = 6015098880. Its totient is φ = 716636160.

The previous prime is 2128523473. The next prime is 2128523533. The reversal of 2128523488 is 8843258212.

It is a super-2 number, since 2×21285234882 = 9061224477935372288, which contains 22 as substring.

It is a congruent number.

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, 29157820 + ... + 29157892.

It is an arithmetic number, because the mean of its divisors is an integer number (15664320).

Almost surely, 22128523488 is an apocalyptic number.

2128523488 is a gapful number since it is divisible by the number (28) 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 2128523488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007549440).

2128523488 is an abundant number, since it is smaller than the sum of its proper divisors (3886575392).

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

2128523488 is a wasteful number, since it uses less digits than its factorization.

2128523488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 245760, while the sum is 43.

The square root of 2128523488 is about 46135.9240505704. The cubic root of 2128523488 is about 1286.3509817609.

The spelling of 2128523488 in words is "two billion, one hundred twenty-eight million, five hundred twenty-three thousand, four hundred eighty-eight".