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1668318036 = 2237116129599
BaseRepresentation
bin110001101110000…
…1000001101010100
311022021020100002220
41203130020031110
511404042134121
6433313502340
756225316660
oct14334101524
94267210086
101668318036
117867a4040
123a68719b0
13207835b48
1411b7d98a0
159b6e66c6
hex63708354

1668318036 has 96 divisors (see below), whose sum is σ = 4933017600. Its totient is φ = 426211200.

The previous prime is 1668318031. The next prime is 1668318073. The reversal of 1668318036 is 6308138661.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668318031) 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, 41565 + ... + 71163.

It is an arithmetic number, because the mean of its divisors is an integer number (51385600).

Almost surely, 21668318036 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 1668318036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466508800).

1668318036 is an abundant number, since it is smaller than the sum of its proper divisors (3264699564).

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

1668318036 is a wasteful number, since it uses less digits than its factorization.

1668318036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29685 (or 29683 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1668318036 is about 40845.0491002276. The cubic root of 1668318036 is about 1186.0225552065.

The spelling of 1668318036 in words is "one billion, six hundred sixty-eight million, three hundred eighteen thousand, thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 61 66 77 84 122 132 154 183 231 244 308 366 427 462 671 732 854 924 1281 1342 1708 2013 2562 2684 4026 4697 5124 8052 9394 14091 18788 28182 29599 56364 59198 88797 118396 177594 207193 325589 355188 414386 621579 651178 828772 976767 1243158 1302356 1805539 1953534 2279123 2486316 3611078 3907068 4558246 5416617 6837369 7222156 9116492 10833234 12638773 13674738 19860929 21666468 25277546 27349476 37916319 39721858 50555092 59582787 75832638 79443716 119165574 139026503 151665276 238331148 278053006 417079509 556106012 834159018 1668318036