Search a number
-
+
12488848412128 = 2511152332329133
BaseRepresentation
bin1011010110111100100101…
…0111111000110111100000
31122012220220022121110022221
42311233021113320313200
53114104130143142003
642321144152040424
72426201206654024
oct265571127706740
948186808543287
1012488848412128
113a85544388280
12149850a093114
136c79023a944a
1431266bb52384
15169ce4a1e7bd
hexb5bc95f8de0

12488848412128 has 48 divisors (see below), whose sum is σ = 26824412681136. Its totient is φ = 5676374179840.

The previous prime is 12488848412101. The next prime is 12488848412143. The reversal of 12488848412128 is 82121484888421.

It is a happy number.

It is a super-2 number, since 2×124888484121282 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4197450 + ... + 6526582.

It is an arithmetic number, because the mean of its divisors is an integer number (558841930857).

Almost surely, 212488848412128 is an apocalyptic number.

It is an amenable number.

12488848412128 is an abundant number, since it is smaller than the sum of its proper divisors (14335564269008).

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

12488848412128 is a wasteful number, since it uses less digits than its factorization.

12488848412128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344387 (or 2344379 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 61.

The spelling of 12488848412128 in words is "twelve trillion, four hundred eighty-eight billion, eight hundred forty-eight million, four hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 15233 30466 60932 121864 167563 243728 335126 487456 670252 1340504 2329133 2681008 4658266 5362016 9316532 18633064 25620463 37266128 51240926 74532256 102481852 204963704 409927408 819854816 35479682989 70959365978 141918731956 283837463912 390276512879 567674927824 780553025758 1135349855648 1561106051516 3122212103032 6244424206064 12488848412128