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41616323640 = 23335431814951
BaseRepresentation
bin100110110000100001…
…101011010000111000
310222102022110021201000
4212300201223100320
51140212234324030
631041314125000
73002201625423
oct466041532070
9128368407630
1041616323640
1116716369a01
128095280760
133c02bb2298
14202b1109ba
15113885c860
hex9b086b438

41616323640 has 256 divisors, whose sum is σ = 142760217600. Its totient is φ = 10777536000.

The previous prime is 41616323633. The next prime is 41616323641. The reversal of 41616323640 is 4632361614.

41616323640 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 6 + 3 + 2 + 3 + 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 = 41616323595 and 41616323604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41616323641) 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, 8403165 + ... + 8408115.

It is an arithmetic number, because the mean of its divisors is an integer number (557657100).

Almost surely, 241616323640 is an apocalyptic number.

41616323640 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 41616323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71380108800).

41616323640 is an abundant number, since it is smaller than the sum of its proper divisors (101143893960).

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

41616323640 is a wasteful number, since it uses less digits than its factorization.

41616323640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 41616323640 in words is "forty-one billion, six hundred sixteen million, three hundred twenty-three thousand, six hundred forty".