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1824126138 = 232101340341
BaseRepresentation
bin110110010111001…
…1111010010111010
311201010102012122100
41230232133102322
512213434014023
6501001204230
763126550002
oct15456372272
94633365570
101824126138
11856742a6a
1242aa90676
13230bb95a3
14134397002
15aa221c43
hex6cb9f4ba

1824126138 has 12 divisors (see below), whose sum is σ = 3952273338. Its totient is φ = 608042040.

The previous prime is 1824126133. The next prime is 1824126151. The reversal of 1824126138 is 8316214281.

1824126138 is a `hidden beast` number, since 1 + 8 + 24 + 12 + 613 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1185906969 + 638219169 = 34437^2 + 25263^2 .

It is not an unprimeable number, because it can be changed into a prime (1824126131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50670153 + ... + 50670188.

Almost surely, 21824126138 is an apocalyptic number.

1824126138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1824126138 is an abundant number, since it is smaller than the sum of its proper divisors (2128147200).

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

1824126138 is a wasteful number, since it uses less digits than its factorization.

1824126138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101340349 (or 101340346 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1824126138 is about 42709.7897208591. The cubic root of 1824126138 is about 1221.8511131033.

The spelling of 1824126138 in words is "one billion, eight hundred twenty-four million, one hundred twenty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 101340341 202680682 304021023 608042046 912063069 1824126138