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10543730783040 = 2634571331413517
BaseRepresentation
bin1001100101101110011101…
…0100111111001101000000
31101022222012201121220210000
42121123213110333031000
52340222030040024130
634231420102440000
72135521322631150
oct231334724771500
941288181556700
1010543730783040
1133a5631175024
121223542133000
135b6367269980
142864681d4760
151343eed55260
hex996e753f340

10543730783040 has 2240 divisors, whose sum is σ = 48826260983808. Its totient is φ = 2099743948800.

The previous prime is 10543730783023. The next prime is 10543730783041. The reversal of 10543730783040 is 4038703734501.

10543730783040 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 37 + 307 + 8 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×105437307830402 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10543730783041) 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 319 ways as a sum of consecutive naturals, for example, 2997931362 + ... + 2997934878.

Almost surely, 210543730783040 is an apocalyptic number.

10543730783040 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 10543730783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24413130491904).

10543730783040 is an abundant number, since it is smaller than the sum of its proper divisors (38282530200768).

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

10543730783040 is a wasteful number, since it uses less digits than its factorization.

10543730783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 10543730783040 in words is "ten trillion, five hundred forty-three billion, seven hundred thirty million, seven hundred eighty-three thousand, forty".