Search a number
-
+
48739163724 = 22336144916477
BaseRepresentation
bin101101011001000101…
…001001111001001100
311122210201100001102000
4231121011021321030
51244304211214344
634220201232300
73343542025146
oct553105117114
9148721301360
1048739163724
1119740a950a9
129542792690
134799797a64
1425050c5c96
151403d3da69
hexb59149e4c

48739163724 has 96 divisors (see below), whose sum is σ = 128726136000. Its totient is φ = 15943495680.

The previous prime is 48739163699. The next prime is 48739163741. The reversal of 48739163724 is 42736193784.

48739163724 is a `hidden beast` number, since 487 + 3 + 91 + 6 + 3 + 72 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 2949774 + ... + 2966250.

It is an arithmetic number, because the mean of its divisors is an integer number (1340897250).

Almost surely, 248739163724 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 48739163724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64363068000).

48739163724 is an abundant number, since it is smaller than the sum of its proper divisors (79986972276).

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

48739163724 is a wasteful number, since it uses less digits than its factorization.

48739163724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17000 (or 16992 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 48739163724 in words is "forty-eight billion, seven hundred thirty-nine million, one hundred sixty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 449 549 732 898 1098 1347 1647 1796 2196 2694 3294 4041 5388 6588 8082 12123 16164 16477 24246 27389 32954 48492 49431 54778 65908 82167 98862 109556 148293 164334 197724 246501 296586 328668 444879 493002 593172 739503 889758 986004 1005097 1479006 1779516 2010194 2958012 3015291 4020388 6030582 7398173 9045873 12061164 14796346 18091746 22194519 27137619 29592692 36183492 44389038 54275238 66583557 88778076 108550476 133167114 199750671 266334228 399501342 451288553 799002684 902577106 1353865659 1805154212 2707731318 4061596977 5415462636 8123193954 12184790931 16246387908 24369581862 48739163724