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1218037068 = 2233107109967
BaseRepresentation
bin100100010011001…
…1100010101001100
310010212221200202000
41020212130111030
54443304141233
6320510432300
742120100323
oct11046342514
93125850660
101218037068
11575606306
1229bb02690
1316546b2c1
14b7aa70ba
1571deed13
hex4899c54c

1218037068 has 96 divisors (see below), whose sum is σ = 3219955200. Its totient is φ = 398115648.

The previous prime is 1218036991. The next prime is 1218037069. The reversal of 1218037068 is 8607308121.

It is a super-2 number, since 2×12180370682 = 2967228598044073248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1218037069) 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 31 ways as a sum of consecutive naturals, for example, 1259121 + ... + 1260087.

It is an arithmetic number, because the mean of its divisors is an integer number (33541200).

Almost surely, 21218037068 is an apocalyptic number.

1218037068 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 1218037068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609977600).

1218037068 is an abundant number, since it is smaller than the sum of its proper divisors (2001918132).

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

1218037068 is a wasteful number, since it uses less digits than its factorization.

1218037068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1218037068 is about 34900.3877915418. The cubic root of 1218037068 is about 1067.9563484242.

The spelling of 1218037068 in words is "one billion, two hundred eighteen million, thirty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 109 214 218 321 327 428 436 642 654 963 967 981 1284 1308 1926 1934 1962 2889 2901 2943 3852 3868 3924 5778 5802 5886 8703 11556 11604 11663 11772 17406 23326 26109 34812 34989 46652 52218 69978 103469 104436 104967 105403 139956 206938 209934 210806 310407 314901 316209 413876 419868 421612 620814 629802 632418 931221 948627 1241628 1259604 1264836 1862442 1897254 2793663 2845881 3724884 3794508 5587326 5691762 11174652 11278121 11383524 22556242 33834363 45112484 67668726 101503089 135337452 203006178 304509267 406012356 609018534 1218037068