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1688070010 = 251119807689
BaseRepresentation
bin110010010011101…
…1110011101111010
311100122101211201111
41210213132131322
511424121220020
6435301110534
756555233624
oct14447363572
94318354644
101688070010
11796964a90
123b13b844a
1320b9603c3
1412029bc14
159d2e8d5a
hex649de77a

1688070010 has 32 divisors (see below), whose sum is σ = 3489220800. Its totient is φ = 581535360.

The previous prime is 1688069993. The next prime is 1688070011. The reversal of 1688070010 is 100708861.

It is a super-2 number, since 2×16880700102 = 5699160717322800200, which contains 22 as substring.

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, 401755 + ... + 405934.

It is an arithmetic number, because the mean of its divisors is an integer number (109038150).

Almost surely, 21688070010 is an apocalyptic number.

1688070010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1688070010 is an abundant number, since it is smaller than the sum of its proper divisors (1801150790).

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

1688070010 is a wasteful number, since it uses less digits than its factorization.

1688070010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807726.

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 1688070010 is about 41086.1291678834. The cubic root of 1688070010 is about 1190.6848234374.

Adding to 1688070010 its reverse (100708861), we get a palindrome (1788778871).

The spelling of 1688070010 in words is "one billion, six hundred eighty-eight million, seventy thousand, ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 418 1045 2090 807689 1615378 4038445 8076890 8884579 15346091 17769158 30692182 44422895 76730455 88845790 153460910 168807001 337614002 844035005 1688070010