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48715155120 = 24351727144059
BaseRepresentation
bin101101010111101001…
…100100011010110000
311122202001011021210110
4231113221210122300
51244232034430440
634213542501320
73343130662212
oct552751443260
9148661137713
1048715155120
1119729487085
129536734840
13479480cb98
142501c365b2
151401b9a080
hexb57a646b0

48715155120 has 160 divisors (see below), whose sum is σ = 160494013440. Its totient is φ = 12181155840.

The previous prime is 48715155119. The next prime is 48715155131. The reversal of 48715155120 is 2155151784.

48715155120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083651 + ... + 1127709.

It is an arithmetic number, because the mean of its divisors is an integer number (1003087584).

Almost surely, 248715155120 is an apocalyptic number.

48715155120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48715155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80247006720).

48715155120 is an abundant number, since it is smaller than the sum of its proper divisors (111778858320).

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

48715155120 is a wasteful number, since it uses less digits than its factorization.

48715155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44363 (or 44357 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 39.

The spelling of 48715155120 in words is "forty-eight billion, seven hundred fifteen million, one hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 271 272 340 408 510 542 680 813 816 1020 1084 1355 1360 1626 2040 2168 2710 3252 4065 4080 4336 4607 5420 6504 8130 9214 10840 13008 13821 16260 18428 21680 23035 27642 32520 36856 44059 46070 55284 65040 69105 73712 88118 92140 110568 132177 138210 176236 184280 220295 221136 264354 276420 352472 368560 440590 528708 552840 660885 704944 749003 881180 1057416 1105680 1321770 1498006 1762360 2114832 2247009 2643540 2996012 3524720 3745015 4494018 5287080 5992024 7490030 8988036 10574160 11235045 11939989 11984048 14980060 17976072 22470090 23879978 29960120 35819967 35952144 44940180 47759956 59699945 59920240 71639934 89880360 95519912 119399890 143279868 179099835 179760720 191039824 202979813 238799780 286559736 358199670 405959626 477599560 573119472 608939439 716399340 811919252 955199120 1014899065 1217878878 1432798680 1623838504 2029798130 2435757756 2865597360 3044697195 3247677008 4059596260 4871515512 6089394390 8119192520 9743031024 12178788780 16238385040 24357577560 48715155120