Search a number
-
+
2721049102080 = 283257910727943
BaseRepresentation
bin100111100110001011001…
…010100100011100000000
3100122010111120221102110100
4213212023022210130000
5324040202032231310
65442011021402400
7400406063514111
oct47461312443400
910563446842410
102721049102080
11959a9930a411
1237b435a09400
131697948488aa
14959b152a208
154aba9e80ec0
hex2798b2a4700

2721049102080 has 432 divisors, whose sum is σ = 9623162465280. Its totient is φ = 709707128832.

The previous prime is 2721049102039. The next prime is 2721049102099. The reversal of 2721049102080 is 802019401272.

2721049102080 is a `hidden beast` number, since 2 + 72 + 1 + 0 + 491 + 0 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 97364589 + ... + 97392531.

It is an arithmetic number, because the mean of its divisors is an integer number (22275839040).

Almost surely, 22721049102080 is an apocalyptic number.

2721049102080 is a gapful number since it is divisible by the number (20) 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 2721049102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811581232640).

2721049102080 is an abundant number, since it is smaller than the sum of its proper divisors (6902113363200).

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

2721049102080 is a wasteful number, since it uses less digits than its factorization.

2721049102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28156 (or 28139 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 2721049102080 in words is "two trillion, seven hundred twenty-one billion, forty-nine million, one hundred two thousand, eighty".