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10681796146176 = 21035292276521
BaseRepresentation
bin1001101101110000110010…
…1010100011010000000000
31101211011120201222001200000
42123130030222203100000
52400002304303134201
634415052134400000
72151506603100561
oct233341452432000
941734521861600
1010681796146176
1134491404a5921
121246253b00000
135c639b08b70c
1428d004900168
15137cd0cc5d86
hex9b70caa3400

10681796146176 has 528 divisors, whose sum is σ = 33239625531840. Its totient is φ = 3422150000640.

The previous prime is 10681796146159. The next prime is 10681796146201. The reversal of 10681796146176 is 67164169718601.

10681796146176 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 1 + 7 + 9 + 6 + 1 + 4 + 617 + 6 = 666.

It is a super-3 number, since 3×106817961461763 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1638057796 + ... + 1638064316.

Almost surely, 210681796146176 is an apocalyptic number.

10681796146176 is a gapful number since it is divisible by the number (16) 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 10681796146176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619812765920).

10681796146176 is an abundant number, since it is smaller than the sum of its proper divisors (22557829385664).

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

10681796146176 is an equidigital number, since it uses as much as digits as its factorization.

10681796146176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 10681796146176 in words is "ten trillion, six hundred eighty-one billion, seven hundred ninety-six million, one hundred forty-six thousand, one hundred seventy-six".