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41818705920 = 2123652801
BaseRepresentation
bin100110111100100101…
…101101000000000000
310222221102021101000000
4212330211231000000
51141121042042140
631113344000000
73010210064265
oct467445550000
9128842241000
1041818705920
111680a629792
128131000000
133c35ac1a04
142049d5326c
15114b4d7a30
hex9bc96d000

41818705920 has 364 divisors, whose sum is σ = 150513851556. Its totient is φ = 11147673600.

The previous prime is 41818705919. The next prime is 41818705931. The reversal of 41818705920 is 2950781814.

41818705920 is a `hidden beast` number, since 41 + 8 + 18 + 7 + 0 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18166726656 + 23651979264 = 134784^2 + 153792^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14928520 + ... + 14931320.

Almost surely, 241818705920 is an apocalyptic number.

41818705920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41818705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75256925778).

41818705920 is an abundant number, since it is smaller than the sum of its proper divisors (108695145636).

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

41818705920 is an frugal number, since it uses more digits than its factorization.

41818705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 41818705920 in words is "forty-one billion, eight hundred eighteen million, seven hundred five thousand, nine hundred twenty".