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1668188196 = 22362712111
BaseRepresentation
bin110001101101110…
…1000100000100100
311022020222202000000
41203123220200210
511404024010241
6433311021300
756224236303
oct14333504044
94266882000
101668188196
11786715534
123a680a830
132077bba0c
1411b7a443a
159b6bceb6
hex636e8824

1668188196 has 84 divisors (see below), whose sum is σ = 4395224064. Its totient is φ = 553748400.

The previous prime is 1668188153. The next prime is 1668188209. The reversal of 1668188196 is 6918818661.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 789181 + ... + 791291.

It is an arithmetic number, because the mean of its divisors is an integer number (52324096).

Almost surely, 21668188196 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 1668188196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197612032).

1668188196 is an abundant number, since it is smaller than the sum of its proper divisors (2727035868).

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

1668188196 is a wasteful number, since it uses less digits than its factorization.

1668188196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2387 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 1668188196 is about 40843.4596477820. The cubic root of 1668188196 is about 1185.9917862603.

The spelling of 1668188196 in words is "one billion, six hundred sixty-eight million, one hundred eighty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 271 324 486 542 729 813 972 1084 1458 1626 2111 2439 2916 3252 4222 4878 6333 7317 8444 9756 12666 14634 18999 21951 25332 29268 37998 43902 56997 65853 75996 87804 113994 131706 170991 197559 227988 263412 341982 395118 512973 572081 683964 790236 1025946 1144162 1538919 1716243 2051892 2288324 3077838 3432486 5148729 6155676 6864972 10297458 15446187 20594916 30892374 46338561 61784748 92677122 139015683 185354244 278031366 417047049 556062732 834094098 1668188196