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41834495808 = 2632747921661
BaseRepresentation
bin100110111101100001…
…111011111101000000
310222222111222120122200
4212331201323331000
51141134112331213
631115110233200
73010461230040
oct467541737500
9128874876580
1041834495808
1116818533986
128136355800
133c3915ca41
14204c0a3720
15114caa6273
hex9bd87bf40

41834495808 has 168 divisors, whose sum is σ = 137333614080. Its totient is φ = 11927208960.

The previous prime is 41834495797. The next prime is 41834495831. The reversal of 41834495808 is 80859443814.

It is a happy number.

41834495808 is a `hidden beast` number, since 4 + 18 + 3 + 4 + 49 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1920498 + ... + 1942158.

Almost surely, 241834495808 is an apocalyptic number.

41834495808 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 41834495808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68666807040).

41834495808 is an abundant number, since it is smaller than the sum of its proper divisors (95499118272).

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

41834495808 is a wasteful number, since it uses less digits than its factorization.

41834495808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22165 (or 22152 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 41834495808 in words is "forty-one billion, eight hundred thirty-four million, four hundred ninety-five thousand, eight hundred eight".