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10576342919682 = 2325311086313333
BaseRepresentation
bin1001100111100111111100…
…1010011010101000000010
31101110002101112010002222200
42121321333022122220002
52341240322241412212
634254412130014030
72141054431336551
oct231717712325002
941402345102880
1010576342919682
113408446942a71
121229923a17316
135b9463863c47
14287c7d51dd98
151351ace5a6dc
hex99e7f29aa02

10576342919682 has 24 divisors (see below), whose sum is σ = 23347775881404. Its totient is φ = 3458929759584.

The previous prime is 10576342919587. The next prime is 10576342919689. The reversal of 10576342919682 is 28691924367501.

10576342919682 is a `hidden beast` number, since 1 + 0 + 576 + 3 + 42 + 9 + 19 + 6 + 8 + 2 = 666.

10576342919682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10317914046801 + 258428872881 = 3212151^2 + 508359^2 .

It is a super-2 number, since 2×105763429196822 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10576342919689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5543155713 + ... + 5543157620.

It is a 1-persistent number, because it is pandigital, but 2⋅10576342919682 = 21152685839364 is not.

Almost surely, 210576342919682 is an apocalyptic number.

10576342919682 is an abundant number, since it is smaller than the sum of its proper divisors (12771432961722).

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

10576342919682 is a wasteful number, since it uses less digits than its factorization.

10576342919682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11086313394 (or 11086313391 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 10576342919682 in words is "ten trillion, five hundred seventy-six billion, three hundred forty-two million, nine hundred nineteen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 11086313333 22172626666 33258939999 66517879998 99776819997 199553639994 587574606649 1175149213298 1762723819947 3525447639894 5288171459841 10576342919682