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549411243840 = 263254146110093
BaseRepresentation
bin1111111111010110111…
…01100100011101000000
31221112010102011222020200
413333223131210131000
533000143234300330
61100221313405200
754456631343004
oct7775335443500
91845112158220
10549411243840
111a2005362308
128a590869800
133ca69c2a974
141c83d696704
15e45897ba60
hex7feb764740

549411243840 has 336 divisors, whose sum is σ = 1940228546256. Its totient is φ = 142612070400.

The previous prime is 549411243839. The next prime is 549411243847. The reversal of 549411243840 is 48342114945.

549411243840 is a `hidden beast` number, since 5 + 494 + 1 + 124 + 38 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 99663964416 + 449747279424 = 315696^2 + 670632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549411243847) 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 47 ways as a sum of consecutive naturals, for example, 54429834 + ... + 54439926.

It is an arithmetic number, because the mean of its divisors is an integer number (5774489721).

Almost surely, 2549411243840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 549411243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970114273128).

549411243840 is an abundant number, since it is smaller than the sum of its proper divisors (1390817302416).

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

549411243840 is a wasteful number, since it uses less digits than its factorization.

549411243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 549411243840 in words is "five hundred forty-nine billion, four hundred eleven million, two hundred forty-three thousand, eight hundred forty".