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10532565455040 = 2632523595235153
BaseRepresentation
bin1001100101000100110111…
…0100101001000011000000
31101021220101121002111011100
42121101031310221003000
52340031143224030130
634222332131014400
72134644535125366
oct231211564510300
941256347074140
1010532565455040
1133a0921685922
121221346a3a400
135b52a8007705
14285ac93a9636
15133e99a09c60
hex9944dd290c0

10532565455040 has 672 divisors, whose sum is σ = 38524456189440. Its totient is φ = 2635471060992.

The previous prime is 10532565455011. The next prime is 10532565455077. The reversal of 10532565455040 is 4055456523501.

10532565455040 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 5 + 6 + 54 + 550 + 40 = 666.

It is a super-2 number, since 2×105325654550402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2043965104 + ... + 2043970256.

Almost surely, 210532565455040 is an apocalyptic number.

10532565455040 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 10532565455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262228094720).

10532565455040 is an abundant number, since it is smaller than the sum of its proper divisors (27991890734400).

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

10532565455040 is a wasteful number, since it uses less digits than its factorization.

10532565455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 10532565455040 in words is "ten trillion, five hundred thirty-two billion, five hundred sixty-five million, four hundred fifty-five thousand, forty".