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41850224640 = 21434571753
BaseRepresentation
bin100110111110011101…
…111100000000000000
311000000121120200120000
4212332131330000000
51141202124142030
631120431320000
73011042016510
oct467635740000
9130017520500
1041850224640
11168263a7214
12813b680000
133c3c4a9043
1420501d9840
15114e161860
hex9be77c000

41850224640 has 1200 divisors, whose sum is σ = 184982035392. Its totient is φ = 8833204224.

The previous prime is 41850224639. The next prime is 41850224671. The reversal of 41850224640 is 4642205814.

41850224640 is a `hidden beast` number, since 4 + 1 + 8 + 5 + 0 + 2 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41850224595 and 41850224604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 789626854 + ... + 789626906.

Almost surely, 241850224640 is an apocalyptic number.

41850224640 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 41850224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92491017696).

41850224640 is an abundant number, since it is smaller than the sum of its proper divisors (143131810752).

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

41850224640 is an equidigital number, since it uses as much as digits as its factorization.

41850224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 41850224640 in words is "forty-one billion, eight hundred fifty million, two hundred twenty-four thousand, six hundred forty".