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41283737856 = 2834172832
BaseRepresentation
bin100110011100101100…
…111101100100000000
310221120010122011210000
4212130230331210000
51134022114102411
630544313440000
72661022660524
oct463454754400
9127503564700
1041283737856
1116565659319
128001a10000
133b7c01556a
141dd8c97d84
151119563956
hex99cb3d900

41283737856 has 405 divisors, whose sum is σ = 132362301841. Its totient is φ = 12795715584.

The previous prime is 41283737851. The next prime is 41283737857. The reversal of 41283737856 is 65873738214.

It is a happy number.

The square root of 41283737856 is 203184.

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

41283737856 is a `hidden beast` number, since 412 + 83 + 73 + 7 + 85 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32141318400 + 9142419456 = 179280^2 + 95616^2 .

It is a super-2 number, since 2×412837378562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

Its product of digits (6773760) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (41283737851) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 497394391 + ... + 497394473.

Almost surely, 241283737856 is an apocalyptic number.

41283737856 is the 203184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41283737856

41283737856 is an abundant number, since it is smaller than the sum of its proper divisors (91078563985).

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

41283737856 is an frugal number, since it uses more digits than its factorization.

41283737856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 105 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 41283737856 in words is "forty-one billion, two hundred eighty-three million, seven hundred thirty-seven thousand, eight hundred fifty-six".