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1318668048 = 2432291092897
BaseRepresentation
bin100111010011001…
…0100011100010000
310101220022021111100
41032212110130100
510200034334143
6334503344400
744451331155
oct11646243420
93356267440
101318668048
11617398905
12309752100
13180273069
14c71c022c
157ab7b6d3
hex4e994710

1318668048 has 120 divisors (see below), whose sum is σ = 3854050200. Its totient is φ = 420360192.

The previous prime is 1318668041. The next prime is 1318668059. The reversal of 1318668048 is 8408668131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104284944 + 1214383104 = 10212^2 + 34848^2 .

It is a super-2 number, since 2×13186680482 = 3477770841632260608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1318667994 and 1318668012.

It is not an unprimeable number, because it can be changed into a prime (1318668041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453736 + ... + 456632.

It is an arithmetic number, because the mean of its divisors is an integer number (32117085).

Almost surely, 21318668048 is an apocalyptic number.

1318668048 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 1318668048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927025100).

1318668048 is an abundant number, since it is smaller than the sum of its proper divisors (2535382152).

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

1318668048 is a wasteful number, since it uses less digits than its factorization.

1318668048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1318668048 is about 36313.4692366345. The cubic root of 1318668048 is about 1096.5922217163.

The spelling of 1318668048 in words is "one billion, three hundred eighteen million, six hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 109 116 144 174 218 232 261 327 348 436 464 522 654 696 872 981 1044 1308 1392 1744 1962 2088 2616 2897 3161 3924 4176 5232 5794 6322 7848 8691 9483 11588 12644 15696 17382 18966 23176 25288 26073 28449 34764 37932 46352 50576 52146 56898 69528 75864 84013 104292 113796 139056 151728 168026 208584 227592 252039 315773 336052 417168 455184 504078 631546 672104 756117 947319 1008156 1263092 1344208 1512234 1894638 2016312 2526184 2841957 3024468 3789276 4032624 5052368 5683914 6048936 7578552 9157417 11367828 12097872 15157104 18314834 22735656 27472251 36629668 45471312 54944502 73259336 82416753 109889004 146518672 164833506 219778008 329667012 439556016 659334024 1318668048