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1061681981760 = 263451719211601
BaseRepresentation
bin11110111001100010010…
…11010110100101000000
310202111101102221202110000
433130301023112211000
5114343311041404020
62131421401240000
7136463316642441
oct17346113264500
93674342852400
101061681981760
1137a290889824
12151917193000
1379168333bba
14395584512c8
151c93b9ae090
hexf7312d6940

1061681981760 has 1120 divisors, whose sum is σ = 4236187697280. Its totient is φ = 250822656000.

The previous prime is 1061681981683. The next prime is 1061681981771. The reversal of 1061681981760 is 671891861601.

1061681981760 is a `hidden beast` number, since 1 + 0 + 616 + 8 + 1 + 9 + 8 + 17 + 6 + 0 = 666.

It is a super-2 number, since 2×10616819817602 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1061681981697 and 1061681981706.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1766525460 + ... + 1766526060.

It is an arithmetic number, because the mean of its divisors is an integer number (3782310444).

Almost surely, 21061681981760 is an apocalyptic number.

1061681981760 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 1061681981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118093848640).

1061681981760 is an abundant number, since it is smaller than the sum of its proper divisors (3174505715520).

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

1061681981760 is a wasteful number, since it uses less digits than its factorization.

1061681981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 1061681981760 in words is "one trillion, sixty-one billion, six hundred eighty-one million, nine hundred eighty-one thousand, seven hundred sixty".