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1318948848 = 2432712710303
BaseRepresentation
bin100111010011101…
…1000111111110000
310101220211112200100
41032213120333300
510200122330343
6334513352400
744453610630
oct11647307760
93356745610
101318948848
1161756a878
12309868700
13180340b09
14c72546c0
157abd49d3
hex4e9d8ff0

1318948848 has 120 divisors (see below), whose sum is σ = 4252172288. Its totient is φ = 373838976.

The previous prime is 1318948837. The next prime is 1318948861. The reversal of 1318948848 is 8488498131.

It is a super-3 number, since 3×13189488483 (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1318948794 and 1318948803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122865 + ... + 133167.

Almost surely, 21318948848 is an apocalyptic number.

1318948848 is a gapful number since it is divisible by the number (18) 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 1318948848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126086144).

1318948848 is an abundant number, since it is smaller than the sum of its proper divisors (2933223440).

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

1318948848 is a wasteful number, since it uses less digits than its factorization.

1318948848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10451 (or 10442 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 1318948848 is about 36317.3353648089. The cubic root of 1318948848 is about 1096.6700530912.

The spelling of 1318948848 in words is "one billion, three hundred eighteen million, nine hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 127 144 168 252 254 336 381 504 508 762 889 1008 1016 1143 1524 1778 2032 2286 2667 3048 3556 4572 5334 6096 7112 8001 9144 10303 10668 14224 16002 18288 20606 21336 30909 32004 41212 42672 61818 64008 72121 82424 92727 123636 128016 144242 164848 185454 216363 247272 288484 370908 432726 494544 576968 649089 741816 865452 1153936 1298178 1308481 1483632 1730904 2596356 2616962 3461808 3925443 5192712 5233924 7850886 9159367 10385424 10467848 11776329 15701772 18318734 20935696 23552658 27478101 31403544 36637468 47105316 54956202 62807088 73274936 82434303 94210632 109912404 146549872 164868606 188421264 219824808 329737212 439649616 659474424 1318948848