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1683088704 = 2632112193141
BaseRepresentation
bin110010001010001…
…1110010101000000
311100022000202122200
41210110132111000
511421332314304
6435002233200
756465006103
oct14424362500
94308022580
101683088704
11794072500
123ab7b5800
1320a907c9b
1411d76273a
159cb62e39
hex6451e540

1683088704 has 504 divisors, whose sum is σ = 5902391040. Its totient is φ = 456192000.

The previous prime is 1683088699. The next prime is 1683088711. The reversal of 1683088704 is 4078803861.

It is a self number, because there is not a number n which added to its sum of digits gives 1683088704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41050924 + ... + 41050964.

Almost surely, 21683088704 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 1683088704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951195520).

1683088704 is an abundant number, since it is smaller than the sum of its proper divisors (4219302336).

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

1683088704 is a wasteful number, since it uses less digits than its factorization.

1683088704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1683088704 is about 41025.4640924390. The cubic root of 1683088704 is about 1189.5124768973.

The spelling of 1683088704 in words is "one billion, six hundred eighty-three million, eighty-eight thousand, seven hundred four".