Search a number
-
+
6048648940992 = 263742110689983
BaseRepresentation
bin101100000000100111110…
…0100100100110111000000
3210102020121202002210222120
41120001033210210313000
51243100113112102432
620510413322404240
71163000105455320
oct130011744446700
923366552083876
106048648940992
111a22243703909
12818328360680
1334b501228408
1416ca82d0b280
15a7514e03c2c
hex5804f924dc0

6048648940992 has 112 divisors (see below), whose sum is σ = 18333408079872. Its totient is φ = 1724080296960.

The previous prime is 6048648940987. The next prime is 6048648941003. The reversal of 6048648940992 is 2990498468406.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×60486489409922 (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4779168 + ... + 5910815.

Almost surely, 26048648940992 is an apocalyptic number.

It is an amenable number.

6048648940992 is an abundant number, since it is smaller than the sum of its proper divisors (12284759138880).

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

6048648940992 is a wasteful number, since it uses less digits than its factorization.

6048648940992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690426 (or 10690416 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 69.

The spelling of 6048648940992 in words is "six trillion, forty-eight billion, six hundred forty-eight million, nine hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 421 448 672 842 1263 1344 1684 2526 2947 3368 5052 5894 6736 8841 10104 11788 13472 17682 20208 23576 26944 35364 40416 47152 70728 80832 94304 141456 188608 282912 565824 10689983 21379966 32069949 42759932 64139898 74829881 85519864 128279796 149659762 171039728 224489643 256559592 299319524 342079456 448979286 513119184 598639048 684158912 897958572 1026238368 1197278096 1795917144 2052476736 2394556192 3591834288 4500482843 4789112384 7183668576 9000965686 13501448529 14367337152 18001931372 27002897058 31503379901 36003862744 54005794116 63006759802 72007725488 94510139703 108011588232 126013519604 144015450976 189020279406 216023176464 252027039208 288030901952 378040558812 432046352928 504054078416 756081117624 864092705856 1008108156832 1512162235248 2016216313664 3024324470496 6048648940992