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41541801855849 = 321492144192
BaseRepresentation
bin10010111001000001101000…
…10101111100101101101001
312110002100122121010110002100
421130200310111330231221
520421110102233341344
6224204012412524013
711515203401430111
oct1134406425745551
9173070577113070
1041541801855849
1112266863178469
1247ab0b5480609
131a244b51532c9
14a388c3750041
154c08e6d71569
hex25c83457cb69

41541801855849 has 27 divisors (see below), whose sum is σ = 60414434565303. Its totient is φ = 27506757404304.

The previous prime is 41541801855847. The next prime is 41541801855893. The reversal of 41541801855849 is 94855810814514.

The square root of 41541801855849 is 6445293.

It is a perfect power (a square), and thus also a powerful number.

41541801855849 is a `hidden beast` number, since 4 + 1 + 5 + 41 + 8 + 0 + 1 + 8 + 5 + 584 + 9 = 666.

41541801855849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4866908095449 + 36674893760400 = 2206107^2 + 6055980^2 .

It is not a de Polignac number, because 41541801855849 - 21 = 41541801855847 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41541801855847) 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 26 ways as a sum of consecutive naturals, for example, 2881038762 + ... + 2881053180.

Almost surely, 241541801855849 is an apocalyptic number.

41541801855849 is the 6445293-rd square number.

41541801855849 is the 3222647-th centered octagonal number.

It is an amenable number.

41541801855849 is a deficient number, since it is larger than the sum of its proper divisors (18872632709454).

41541801855849 is an frugal number, since it uses more digits than its factorization.

41541801855849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29142 (or 14571 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 63.

The spelling of 41541801855849 in words is "forty-one trillion, five hundred forty-one billion, eight hundred one million, eight hundred fifty-five thousand, eight hundred forty-nine".

Divisors: 1 3 9 149 447 1341 14419 22201 43257 66603 129771 199809 2148431 6445293 19335879 207907561 320116219 623722683 960348657 1871168049 2881045971 30978226589 92934679767 278804039301 4615755761761 13847267285283 41541801855849