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10548075852768 = 253109875790133
BaseRepresentation
bin1001100101111110101001…
…0100000111001111100000
31101100101102112122022220110
42121133222110013033200
52340304424404242033
634233415200411320
72136034103256006
oct231375224071740
941311375568813
1010548075852768
1133a7460916243
121224355316b40
135b68aa50944c
1428675b2d0a76
151345a653d363
hex997ea5073e0

10548075852768 has 24 divisors (see below), whose sum is σ = 27688699113768. Its totient is φ = 3516025284224.

The previous prime is 10548075852767. The next prime is 10548075852773. The reversal of 10548075852768 is 86725857084501.

10548075852768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105480758527682 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10548075852699 and 10548075852708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10548075852761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54937894971 + ... + 54937895162.

It is an arithmetic number, because the mean of its divisors is an integer number (1153695796407).

Almost surely, 210548075852768 is an apocalyptic number.

It is an amenable number.

10548075852768 is an abundant number, since it is smaller than the sum of its proper divisors (17140623261000).

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

10548075852768 is a wasteful number, since it uses less digits than its factorization.

10548075852768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109875790146 (or 109875790138 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 66.

The spelling of 10548075852768 in words is "ten trillion, five hundred forty-eight billion, seventy-five million, eight hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109875790133 219751580266 329627370399 439503160532 659254740798 879006321064 1318509481596 1758012642128 2637018963192 3516025284256 5274037926384 10548075852768