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1027996588692 = 223265343729649
BaseRepresentation
bin11101111010110010101…
…11110001101010010100
310122021102211221111012100
432331121113301222110
5113320314111314232
62104131034322100
7134161466554413
oct16753127615224
93567384844170
101027996588692
11366a753023a7
12147295b89330
1375c2a590958
1437a8078947a
151bb19556c7c
hexef595f1a94

1027996588692 has 36 divisors (see below), whose sum is σ = 2602526390100. Its totient is φ = 342140765952.

The previous prime is 1027996588681. The next prime is 1027996588693. The reversal of 1027996588692 is 2968856997201.

1027996588692 is a `hidden beast` number, since 10 + 27 + 9 + 9 + 6 + 588 + 6 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 434286272016 + 593710316676 = 659004^2 + 770526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1027996588692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027996588693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21841317 + ... + 21888332.

It is an arithmetic number, because the mean of its divisors is an integer number (72292399725).

Almost surely, 21027996588692 is an apocalyptic number.

1027996588692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1027996588692 is an abundant number, since it is smaller than the sum of its proper divisors (1574529801408).

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

1027996588692 is a wasteful number, since it uses less digits than its factorization.

1027996588692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43730312 (or 43730307 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 1027996588692 in words is "one trillion, twenty-seven billion, nine hundred ninety-six million, five hundred eighty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 653 1306 1959 2612 3918 5877 7836 11754 23508 43729649 87459298 131188947 174918596 262377894 393566841 524755788 787133682 1574267364 28555460797 57110921594 85666382391 114221843188 171332764782 256999147173 342665529564 513998294346 1027996588692