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1688885500 = 225331110861
BaseRepresentation
bin110010010101010…
…0101100011111100
311100200221021100211
41210222211203330
511424323314000
6435330402204
756565201301
oct14452454374
94320837324
101688885500
11797371745
123b1730364
1320bb87643
141204310a8
159d40a7ba
hex64aa58fc

1688885500 has 48 divisors (see below), whose sum is σ = 3700726848. Its totient is φ = 673320000.

The previous prime is 1688885491. The next prime is 1688885537. The reversal of 1688885500 is 55888861.

It is a super-2 number, since 2×16888855002 = 5704668464220500000, 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 15 ways as a sum of consecutive naturals, for example, 150070 + ... + 160930.

It is an arithmetic number, because the mean of its divisors is an integer number (77098476).

Almost surely, 21688885500 is an apocalyptic number.

1688885500 is a gapful number since it is divisible by the number (10) 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 1688885500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850363424).

1688885500 is an abundant number, since it is smaller than the sum of its proper divisors (2011841348).

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

1688885500 is a wasteful number, since it uses less digits than its factorization.

1688885500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11191 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 49.

The square root of 1688885500 is about 41096.0521218280. The cubic root of 1688885500 is about 1190.8765286084.

The spelling of 1688885500 in words is "one billion, six hundred eighty-eight million, eight hundred eighty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 311 500 622 1244 1555 3110 6220 7775 10861 15550 21722 31100 38875 43444 54305 77750 108610 155500 217220 271525 543050 1086100 1357625 2715250 3377771 5430500 6755542 13511084 16888855 33777710 67555420 84444275 168888550 337777100 422221375 844442750 1688885500