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41493518352 = 243311133147461
BaseRepresentation
bin100110101001001101…
…001101100000010000
310222002202101010112000
4212221031031200100
51134434320041402
631021210034000
72666151041466
oct465115154020
9128082333460
1041493518352
1116663011530
128060118900
133bb3615530
142018aa4836
15112cba0c1c
hex9a934d810

41493518352 has 640 divisors, whose sum is σ = 147830538240. Its totient is φ = 10969344000.

The previous prime is 41493518327. The next prime is 41493518357. The reversal of 41493518352 is 25381539414.

41493518352 is a `hidden beast` number, since 4 + 14 + 93 + 518 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41493518298 and 41493518307.

It is not an unprimeable number, because it can be changed into a prime (41493518357) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90007402 + ... + 90007862.

It is an arithmetic number, because the mean of its divisors is an integer number (230985216).

Almost surely, 241493518352 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 41493518352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73915269120).

41493518352 is an abundant number, since it is smaller than the sum of its proper divisors (106337019888).

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

41493518352 is a wasteful number, since it uses less digits than its factorization.

41493518352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 41493518352 in words is "forty-one billion, four hundred ninety-three million, five hundred eighteen thousand, three hundred fifty-two".