Search a number
-
+
80173102184448 = 2113713539472857
BaseRepresentation
bin10010001110101011000001…
…010001101011100000000000
3101111212110210100011002210120
4102032223001101223200000
541002024003124400243
6442303003101100240
722613213132322120
oct2216530121534000
9344773710132716
1080173102184448
1123600249090409
128baa101857680
1335973a26ca6b0
1415b2582632c80
159407467aec83
hex48eac146b800

80173102184448 has 768 divisors, whose sum is σ = 268408485596160. Its totient is φ = 20716440256512.

The previous prime is 80173102184437. The next prime is 80173102184449. The reversal of 80173102184448 is 84448120137108.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 80173102184448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80173102184449) by changing a digit.

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, 28061987436 + ... + 28061990292.

It is an arithmetic number, because the mean of its divisors is an integer number (349490215620).

Almost surely, 280173102184448 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 80173102184448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134204242798080).

80173102184448 is an abundant number, since it is smaller than the sum of its proper divisors (188235383411712).

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

80173102184448 is a wasteful number, since it uses less digits than its factorization.

80173102184448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 80173102184448 in words is "eighty trillion, one hundred seventy-three billion, one hundred two million, one hundred eighty-four thousand, four hundred forty-eight".