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48261743160 = 23352943322519
BaseRepresentation
bin101100111100100111…
…111100001000111000
311121120102222120111220
4230330213330020320
51242320001240120
634100544352040
73325654022361
oct547447741070
9147512876456
1048261743160
111951654aa54
12942a915620
1347218ba197
14249b92ab68
1513c6e85b40
hexb3c9fc238

48261743160 has 128 divisors (see below), whose sum is σ = 153261504000. Its totient is φ = 12136997376.

The previous prime is 48261743147. The next prime is 48261743161. The reversal of 48261743160 is 6134716284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48261743161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11620 + ... + 310899.

It is an arithmetic number, because the mean of its divisors is an integer number (1197355500).

Almost surely, 248261743160 is an apocalyptic number.

48261743160 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 48261743160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76630752000).

48261743160 is an abundant number, since it is smaller than the sum of its proper divisors (104999760840).

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

48261743160 is a wasteful number, since it uses less digits than its factorization.

48261743160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322605 (or 322601 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 48261743160 in words is "forty-eight billion, two hundred sixty-one million, seven hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 43 58 60 86 87 116 120 129 145 172 174 215 232 258 290 344 348 430 435 516 580 645 696 860 870 1032 1160 1247 1290 1720 1740 2494 2580 3480 3741 4988 5160 6235 7482 9976 12470 14964 18705 24940 29928 37410 49880 74820 149640 322519 645038 967557 1290076 1612595 1935114 2580152 3225190 3870228 4837785 6450380 7740456 9353051 9675570 12900760 13868317 18706102 19351140 27736634 28059153 37412204 38702280 41604951 46765255 55473268 56118306 69341585 74824408 83209902 93530510 110946536 112236612 138683170 140295765 166419804 187061020 208024755 224473224 277366340 280591530 332839608 374122040 402181193 416049510 554732680 561183060 804362386 832099020 1122366120 1206543579 1608724772 1664198040 2010905965 2413087158 3217449544 4021811930 4826174316 6032717895 8043623860 9652348632 12065435790 16087247720 24130871580 48261743160