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10845543540 = 223513291074481
BaseRepresentation
bin10100001100111000…
…11101110001110100
31000222211210200210210
422012130131301310
5134202424343130
64552105345420
7532522412316
oct120634356164
930884720723
1010845543540
114666032427
122128198270
13103ac281b0
1474c5857b6
1543722e5b0
hex28671dc74

10845543540 has 192 divisors, whose sum is σ = 34154991360. Its totient is φ = 2552954880.

The previous prime is 10845543523. The next prime is 10845543547. The reversal of 10845543540 is 4534554801.

10845543540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10845543547) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2418100 + ... + 2422580.

It is an arithmetic number, because the mean of its divisors is an integer number (177890580).

Almost surely, 210845543540 is an apocalyptic number.

10845543540 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 10845543540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077495680).

10845543540 is an abundant number, since it is smaller than the sum of its proper divisors (23309447820).

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

10845543540 is a wasteful number, since it uses less digits than its factorization.

10845543540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 10845543540 in words is "ten billion, eight hundred forty-five million, five hundred forty-three thousand, five hundred forty".