Search a number
-
+
5176202393856 = 283133001172759
BaseRepresentation
bin100101101010010110110…
…1101000111100100000000
3200022211200110000011101110
41023110231231013210000
51134301330303100411
615001525313203320
71042653056253204
oct113245555074400
920284613004343
105176202393856
111716240342a6a
126b7223860540
132b7162ccbb90
1413c75b074b04
158e9a18332a6
hex4b52db47900

5176202393856 has 144 divisors (see below), whose sum is σ = 14840987880320. Its totient is φ = 1592137728000.

The previous prime is 5176202393809. The next prime is 5176202393867. The reversal of 5176202393856 is 6583932026715.

It is a junction number, because it is equal to n+sod(n) for n = 5176202393796 and 5176202393805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29875605 + ... + 30048363.

Almost surely, 25176202393856 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 5176202393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420493940160).

5176202393856 is an abundant number, since it is smaller than the sum of its proper divisors (9664785486464).

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

5176202393856 is a wasteful number, since it uses less digits than its factorization.

5176202393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175792 (or 175778 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 5176202393856 in words is "five trillion, one hundred seventy-six billion, two hundred two million, three hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3001 3328 4992 6002 9003 9984 12004 18006 24008 36012 39013 48016 72024 78026 96032 117039 144048 156052 172759 192064 234078 288096 312104 345518 384128 468156 518277 576192 624208 691036 768256 936312 1036554 1152384 1248416 1382072 1872624 2073108 2245867 2304768 2496832 2764144 3745248 4146216 4491734 4993664 5528288 6737601 7490496 8292432 8983468 9987328 11056576 13475202 14980992 16584864 17966936 22113152 26950404 29961984 33169728 35933872 44226304 53900808 66339456 71867744 107801616 132678912 143735488 215603232 287470976 431206464 518449759 574941952 862412928 1036899518 1555349277 1724825856 2073799036 3110698554 4147598072 6221397108 6739846867 8295196144 12442794216 13479693734 16590392288 20219540601 24885588432 26959387468 33180784576 40439081202 49771176864 53918774936 66361569152 80878162404 99542353728 107837549872 132723138304 161756324808 199084707456 215675099744 323512649616 398169414912 431350199488 647025299232 862700398976 1294050598464 1725400797952 2588101196928 5176202393856