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1685120664 = 233411978693
BaseRepresentation
bin110010001110000…
…1110011010011000
311100102211222222110
41210130032122120
511422342330124
6435113552320
756521201143
oct14434163230
94312758873
101685120664
11795230107
123b04156a0
1320b169b26
1411db3105a
159ce15029
hex6470e698

1685120664 has 64 divisors (see below), whose sum is σ = 4337958240. Its totient is φ = 545162240.

The previous prime is 1685120629. The next prime is 1685120683. The reversal of 1685120664 is 4660215861.

It is a happy number.

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, 189502 + ... + 198194.

Almost surely, 21685120664 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 1685120664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168979120).

1685120664 is an abundant number, since it is smaller than the sum of its proper divisors (2652837576).

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

1685120664 is a wasteful number, since it uses less digits than its factorization.

1685120664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1685120664 is about 41050.2212417911. The cubic root of 1685120664 is about 1189.9909760867.

The spelling of 1685120664 in words is "one billion, six hundred eighty-five million, one hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 197 246 328 394 492 591 788 984 1182 1576 2364 4728 8077 8693 16154 17386 24231 26079 32308 34772 48462 52158 64616 69544 96924 104316 193848 208632 356413 712826 1069239 1425652 1712521 2138478 2851304 3425042 4276956 5137563 6850084 8553912 10275126 13700168 20550252 41100504 70213361 140426722 210640083 280853444 421280166 561706888 842560332 1685120664