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10540441512 = 2332146395021
BaseRepresentation
bin10011101000100001…
…00101111110101000
31000012120200220111200
421310100211332220
5133041323112022
64501530124200
7522126163116
oct116420457650
930176626450
1010540441512
114519893797
122061b80660
13cbc962053
1471dc44ab6
1541a563bac
hex274425fa8

10540441512 has 24 divisors (see below), whose sum is σ = 28547029290. Its totient is φ = 3513480480.

The previous prime is 10540441477. The next prime is 10540441519. The reversal of 10540441512 is 21514404501.

10540441512 is a `hidden beast` number, since 105 + 4 + 0 + 4 + 41 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10540307556 + 133956 = 102666^2 + 366^2 .

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

It is a super-2 number, since 2×105404415122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540441519) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73197439 + ... + 73197582.

Almost surely, 210540441512 is an apocalyptic number.

10540441512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10540441512 is an abundant number, since it is smaller than the sum of its proper divisors (18006587778).

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

10540441512 is a wasteful number, since it uses less digits than its factorization.

10540441512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146395033 (or 146395026 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10540441512 in words is "ten billion, five hundred forty million, four hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 146395021 292790042 439185063 585580084 878370126 1171160168 1317555189 1756740252 2635110378 3513480504 5270220756 10540441512