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1696000000 = 2115653
BaseRepresentation
bin110010100010110…
…1110100000000000
311101012022201121211
41211011232200000
511433134000000
6440143055504
760012522262
oct14505564000
94335281554
101696000000
117a03909a2
123b3ba1594
132104a89c6
14121363b32
159dd637ba
hex6516e800

1696000000 has 168 divisors, whose sum is σ = 4318890030. Its totient is φ = 665600000.

The previous prime is 1695999941. The next prime is 1696000003. The reversal of 1696000000 is 6961.

It can be written as a sum of positive squares in 7 ways, for example, as 710542336 + 985457664 = 26656^2 + 31392^2 .

It is not an unprimeable number, because it can be changed into a prime (1696000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31999974 + ... + 32000026.

Almost surely, 21696000000 is an apocalyptic number.

1696000000 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 1696000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159445015).

1696000000 is an abundant number, since it is smaller than the sum of its proper divisors (2622890030).

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

1696000000 is an frugal number, since it uses more digits than its factorization.

1696000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1696000000 is about 41182.5205639480. The cubic root of 1696000000 is about 1192.5463915487.

Adding to 1696000000 its reverse (6961), we get a palindrome (1696006961).

The spelling of 1696000000 in words is "one billion, six hundred ninety-six million", and thus it is an aban number.