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1696863168 = 263571113109
BaseRepresentation
bin110010100100100…
…0001001111000000
311101020221120200000
41211021001033000
511433344110133
6440213400000
760023045640
oct14511011700
94336846600
101696863168
117a0920460
123b4339000
1321071b860
1412150a520
159de84413
hex652413c0

1696863168 has 672 divisors, whose sum is σ = 6834347520. Its totient is φ = 403107840.

The previous prime is 1696863139. The next prime is 1696863193. The reversal of 1696863168 is 8613686961.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×16968631682 = 5758689221829992448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15567498 + ... + 15567606.

It is an arithmetic number, because the mean of its divisors is an integer number (10170160).

Almost surely, 21696863168 is an apocalyptic number.

1696863168 is a gapful number since it is divisible by the number (18) 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 1696863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417173760).

1696863168 is an abundant number, since it is smaller than the sum of its proper divisors (5137484352).

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

1696863168 is a wasteful number, since it uses less digits than its factorization.

1696863168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1696863168 is about 41192.9990168232. Note that the first 3 decimals coincide. The cubic root of 1696863168 is about 1192.7486701067.

The spelling of 1696863168 in words is "one billion, six hundred ninety-six million, eight hundred sixty-three thousand, one hundred sixty-eight".