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41885918928 = 243272172912041
BaseRepresentation
bin100111000000100110…
…000110011011010000
311000010002202010220200
4213000212012123100
51141240243401203
631124144335200
73011654302500
oct470046063320
9130102663820
1041885918928
1116844566927
12814b614500
133c469c5b19
142054c4ba00
1511523629a3
hex9c09866d0

41885918928 has 360 divisors, whose sum is σ = 149373062280. Its totient is φ = 10874142720.

The previous prime is 41885918917. The next prime is 41885918941. The reversal of 41885918928 is 82981958814.

41885918928 is a `hidden beast` number, since 4 + 18 + 8 + 591 + 8 + 9 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14167664784 + 27718254144 = 119028^2 + 166488^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3472588 + ... + 3484628.

It is an arithmetic number, because the mean of its divisors is an integer number (414925173).

Almost surely, 241885918928 is an apocalyptic number.

41885918928 is a gapful number since it is divisible by the number (48) 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 41885918928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74686531140).

41885918928 is an abundant number, since it is smaller than the sum of its proper divisors (107487143352).

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

41885918928 is a wasteful number, since it uses less digits than its factorization.

41885918928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12115 (or 12099 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 63.

The spelling of 41885918928 in words is "forty-one billion, eight hundred eighty-five million, nine hundred eighteen thousand, nine hundred twenty-eight".