Search a number
-
+
4489953823680 = 2635132916774287
BaseRepresentation
bin100000101010110011000…
…0110100100101111000000
3120220020100121020210001020
41001111212012210233000
51042030411134324210
613314353432505440
7642250145536623
oct101254606445700
916806317223036
104489953823680
1114811a6976106
1260622454b280
1326752980c180
1411745a21ddba
157bbd9b5d770
hex415661a4bc0

4489953823680 has 448 divisors, whose sum is σ = 15976888381440. Its totient is φ = 1060704239616.

The previous prime is 4489953823609. The next prime is 4489953823703. The reversal of 4489953823680 is 863283599844.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60403497 + ... + 60477783.

It is an arithmetic number, because the mean of its divisors is an integer number (35662697280).

Almost surely, 24489953823680 is an apocalyptic number.

4489953823680 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 4489953823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988444190720).

4489953823680 is an abundant number, since it is smaller than the sum of its proper divisors (11486934557760).

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

4489953823680 is a wasteful number, since it uses less digits than its factorization.

4489953823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74516 (or 74506 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 69.

The spelling of 4489953823680 in words is "four trillion, four hundred eighty-nine billion, nine hundred fifty-three million, eight hundred twenty-three thousand, six hundred eighty".