Search a number
-
+
41839689024 = 2633719307593
BaseRepresentation
bin100110111101110101…
…101111110101000000
310222222212202102102000
4212331311233311000
51141141430022044
631115413424000
73010553326440
oct467565576500
9128885672360
1041839689024
11168204606a1
12813803b000
133c3a25a753
14204ca56120
15114d27ed69
hex9bdd6fd40

41839689024 has 448 divisors, whose sum is σ = 148703385600. Its totient is φ = 11269103616.

The previous prime is 41839689011. The next prime is 41839689041. The reversal of 41839689024 is 42098693814.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70555672 + ... + 70556264.

It is an arithmetic number, because the mean of its divisors is an integer number (331927200).

Almost surely, 241839689024 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 41839689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74351692800).

41839689024 is an abundant number, since it is smaller than the sum of its proper divisors (106863696576).

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

41839689024 is a wasteful number, since it uses less digits than its factorization.

41839689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 41839689024 in words is "forty-one billion, eight hundred thirty-nine million, six hundred eighty-nine thousand, twenty-four".