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41648108544 = 2103272328069
BaseRepresentation
bin100110110010011010…
…111011010000000000
310222111112021010101200
4212302122323100000
51140243403433134
631044411301200
73003036036660
oct466232732000
9128445233350
1041648108544
11167322a9419
1280a3a4a800
133c09660813
1420314261a0
15113b53a499
hex9b26bb400

41648108544 has 264 divisors, whose sum is σ = 143418387840. Its totient is φ = 11381686272.

The previous prime is 41648108531. The next prime is 41648108549. The reversal of 41648108544 is 44580184614.

41648108544 is a `hidden beast` number, since 41 + 64 + 8 + 1 + 0 + 8 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41648108544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41648108549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1469742 + ... + 1497810.

Almost surely, 241648108544 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 41648108544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71709193920).

41648108544 is an abundant number, since it is smaller than the sum of its proper divisors (101770279296).

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

41648108544 is a wasteful number, since it uses less digits than its factorization.

41648108544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28125 (or 28104 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 41648108544 in words is "forty-one billion, six hundred forty-eight million, one hundred eight thousand, five hundred forty-four".