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1688070012 = 2231750316451
BaseRepresentation
bin110010010011101…
…1110011101111100
311100122101211201120
41210213132131330
511424121220022
6435301110540
756555233626
oct14447363574
94318354646
101688070012
11796964a92
123b13b8450
1320b9603c5
1412029bc16
159d2e8d5c
hex649de77c

1688070012 has 48 divisors (see below), whose sum is σ = 4179071232. Its totient is φ = 528505600.

The previous prime is 1688070011. The next prime is 1688070047. The reversal of 1688070012 is 2100708861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688070011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94387 + ... + 110837.

It is an arithmetic number, because the mean of its divisors is an integer number (87063984).

Almost surely, 21688070012 is an apocalyptic number.

1688070012 is a gapful number since it is divisible by the number (12) 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 1688070012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089535616).

1688070012 is an abundant number, since it is smaller than the sum of its proper divisors (2491001220).

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

1688070012 is a wasteful number, since it uses less digits than its factorization.

1688070012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16976 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1688070012 is about 41086.1291922225. The cubic root of 1688070012 is about 1190.6848239076.

Adding to 1688070012 its reverse (2100708861), we get a palindrome (3788778873).

The spelling of 1688070012 in words is "one billion, six hundred eighty-eight million, seventy thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 503 1006 1509 2012 3018 6036 8551 16451 17102 25653 32902 34204 49353 51306 65804 98706 102612 197412 279667 559334 839001 1118668 1678002 3356004 8274853 16549706 24824559 33099412 49649118 99298236 140672501 281345002 422017503 562690004 844035006 1688070012