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48864770024 = 23731277307331
BaseRepresentation
bin101101100000100100…
…010011011111101000
311200010110200111212012
4231200210103133220
51300033340120044
634240445335052
73346625456240
oct554044233750
9150113614765
1048864770024
11197a5985a64
129578867488
1347b9805705
142517a60b20
15140eda059e
hexb609137e8

48864770024 has 128 divisors (see below), whose sum is σ = 109160325120. Its totient is φ = 20066745600.

The previous prime is 48864770023. The next prime is 48864770051. The reversal of 48864770024 is 42007746884.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48864770021) by changing a digit.

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, 147627539 + ... + 147627869.

It is an arithmetic number, because the mean of its divisors is an integer number (852815040).

Almost surely, 248864770024 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 48864770024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54580162560).

48864770024 is an abundant number, since it is smaller than the sum of its proper divisors (60295555096).

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

48864770024 is a wasteful number, since it uses less digits than its factorization.

48864770024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 50.

The spelling of 48864770024 in words is "forty-eight billion, eight hundred sixty-four million, seven hundred seventy thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 277 307 331 434 554 614 662 868 1108 1228 1324 1736 1939 2149 2216 2317 2456 2648 3878 4298 4634 7756 8587 8596 9268 9517 10261 15512 17174 17192 18536 19034 20522 34348 38068 41044 60109 66619 68696 71827 76136 82088 85039 91687 101617 120218 133238 143654 170078 183374 203234 240436 266476 287308 340156 366748 406468 480872 532952 574616 595273 641809 680312 711319 733496 812936 1190546 1283618 1422638 2381092 2567236 2636209 2842297 2845276 3150127 4762184 5134472 5272418 5684594 5690552 6300254 10544836 11369188 12600508 18453463 19896079 21089672 22050889 22738376 25201016 28147909 36906926 39792158 44101778 56295818 73813852 79584316 88203556 112591636 147627704 159168632 176407112 197035363 225183272 394070726 788141452 872585179 1576282904 1745170358 3490340716 6108096253 6980681432 12216192506 24432385012 48864770024