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1668155112 = 2332132337649
BaseRepresentation
bin110001101101110…
…0000011011101000
311022020221001121200
41203123200123220
511404021430422
6433310204200
756224040661
oct14333403350
94266831550
101668155112
117866a2698
123a67b3660
132077a9940
1411b796368
159b6b32ac
hex636e06e8

1668155112 has 96 divisors (see below), whose sum is σ = 4886973000. Its totient is φ = 511008768.

The previous prime is 1668155089. The next prime is 1668155117. The reversal of 1668155112 is 2115518661.

1668155112 is a `hidden beast` number, since 1 + 66 + 81 + 5 + 511 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 435723876 + 1232431236 = 20874^2 + 35106^2 .

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 (1668155117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214264 + ... + 221912.

Almost surely, 21668155112 is an apocalyptic number.

1668155112 is a gapful number since it is divisible by the number (12) 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 1668155112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443486500).

1668155112 is an abundant number, since it is smaller than the sum of its proper divisors (3218817888).

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

1668155112 is a wasteful number, since it uses less digits than its factorization.

1668155112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7907 (or 7900 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 1668155112 is about 40843.0546360088. The cubic root of 1668155112 is about 1185.9839458956.

The spelling of 1668155112 in words is "one billion, six hundred sixty-eight million, one hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 233 234 312 466 468 699 932 936 1398 1864 2097 2796 3029 4194 5592 6058 7649 8388 9087 12116 15298 16776 18174 22947 24232 27261 30596 36348 45894 54522 61192 68841 72696 91788 99437 109044 137682 183576 198874 218088 275364 298311 397748 550728 596622 795496 894933 1193244 1782217 1789866 2386488 3564434 3579732 5346651 7128868 7159464 10693302 14257736 16039953 21386604 23168821 32079906 42773208 46337642 64159812 69506463 92675284 128319624 139012926 185350568 208519389 278025852 417038778 556051704 834077556 1668155112