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41096208384 = 2133371119127
BaseRepresentation
bin100110010001100001…
…100110000000000000
310221002001202200201000
4212101201212000000
51133131112132014
630513534212000
72653255002420
oct462141460000
9127061680630
1041096208384
1116479813690
127b6b054000
133b4c20648a
141dbc000480
151107d6e509
hex991866000

41096208384 has 896 divisors, whose sum is σ = 161051443200. Its totient is φ = 10032906240.

The previous prime is 41096208379. The next prime is 41096208389. The reversal of 41096208384 is 48380269014.

It is a happy number.

41096208384 is a `hidden beast` number, since 4 + 10 + 9 + 620 + 8 + 3 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41096208379) and next prime (41096208389).

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41096208389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323592129 + ... + 323592255.

Almost surely, 241096208384 is an apocalyptic number.

41096208384 is a gapful number since it is divisible by the number (44) 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 41096208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80525721600).

41096208384 is an abundant number, since it is smaller than the sum of its proper divisors (119955234816).

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

41096208384 is a wasteful number, since it uses less digits than its factorization.

41096208384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 41096208384 in words is "forty-one billion, ninety-six million, two hundred eight thousand, three hundred eighty-four".