Search a number
-
+
5001317576000 = 26531986131477
BaseRepresentation
bin100100011000111010111…
…0000011110110101000000
3122201010021102100220220022
41020301311300132311000
51123420144244413000
614345323520433012
71024222211654444
oct110616560366500
918633242326808
105001317576000
111659057429949
12689357178768
132a3812044235
141340ca760824
158a168234585
hex48c75c1ed40

5001317576000 has 112 divisors (see below), whose sum is σ = 12386780105232. Its totient is φ = 2000362752000.

The previous prime is 5001317575963. The next prime is 5001317576039. The reversal of 5001317576000 is 6757131005.

It can be written as a sum of positive squares in 8 ways, for example, as 2870394962176 + 2130922613824 = 1694224^2 + 1459768^2 .

It is a congruent number.

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, 158872262 + ... + 158903738.

Almost surely, 25001317576000 is an apocalyptic number.

5001317576000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5001317576000 is an abundant number, since it is smaller than the sum of its proper divisors (7385462529232).

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

5001317576000 is a wasteful number, since it uses less digits than its factorization.

5001317576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51365 (or 51345 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 35.

The spelling of 5001317576000 in words is "five trillion, one billion, three hundred seventeen million, five hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 19861 31477 39722 62954 79444 99305 125908 157385 158888 198610 251816 314770 317776 397220 496525 503632 629540 635552 786925 794440 993050 1007264 1259080 1271104 1573850 1588880 1986100 2014528 2482625 2518160 3147700 3177760 3934625 3972200 4965250 5036320 6295400 6355520 7869250 7944400 9930500 10072640 12590800 15738500 15888800 19861000 25181600 31477000 31777600 39722000 50363200 62954000 79444000 125908000 158888000 251816000 625164697 1250329394 2500658788 3125823485 5001317576 6251646970 10002635152 12503293940 15629117425 20005270304 25006587880 31258234850 40010540608 50013175760 62516469700 78145587125 100026351520 125032939400 156291174250 200052703040 250065878800 312582348500 500131757600 625164697000 1000263515200 1250329394000 2500658788000 5001317576000