Search a number
-
+
41568975630 = 234571334771
BaseRepresentation
bin100110101101101101…
…000011101100001110
310222022000100202110000
4212231231003230032
51140113124210010
631032503225130
73001055314530
oct465555035416
9128260322400
1041568975630
11166a166a716
1280814481a6
133bc6145000
142024b07850
1511346087c0
hex9adb43b0e

41568975630 has 640 divisors, whose sum is σ = 143317278720. Its totient is φ = 8463087360.

The previous prime is 41568975601. The next prime is 41568975703. The reversal of 41568975630 is 3657986514.

41568975630 is a `hidden beast` number, since 4 + 1 + 568 + 9 + 75 + 6 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 585478495 + ... + 585478565.

It is an arithmetic number, because the mean of its divisors is an integer number (223933248).

Almost surely, 241568975630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41568975630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71658639360).

41568975630 is an abundant number, since it is smaller than the sum of its proper divisors (101748303090).

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

41568975630 is a wasteful number, since it uses less digits than its factorization.

41568975630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 41568975630 in words is "forty-one billion, five hundred sixty-eight million, nine hundred seventy-five thousand, six hundred thirty".