Search a number
-
+
168664968 = 23328926321
BaseRepresentation
bin10100000110110…
…01111110001000
3102202101001211200
422003121332020
5321134234333
624423024200
74115425413
oct1203317610
9382331750
10168664968
118723053a
124859b060
1328c35774
1418586b7a
15ec19c13
hexa0d9f88

168664968 has 48 divisors (see below), whose sum is σ = 461951100. Its totient is φ = 55587840.

The previous prime is 168664933. The next prime is 168664997. The reversal of 168664968 is 869466861.

It can be written as a sum of positive squares in 2 ways, for example, as 166874724 + 1790244 = 12918^2 + 1338^2 .

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 6753 + ... + 19568.

Almost surely, 2168664968 is an apocalyptic number.

168664968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

168664968 is an abundant number, since it is smaller than the sum of its proper divisors (293286132).

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

168664968 is a wasteful number, since it uses less digits than its factorization.

168664968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26422 (or 26415 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 168664968 is about 12987.1077611607. The cubic root of 168664968 is about 552.5118912560.

The spelling of 168664968 in words is "one hundred sixty-eight million, six hundred sixty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 26321 52642 78963 105284 157926 210568 236889 315852 473778 631704 947556 1895112 2342569 4685138 7027707 9370276 14055414 18740552 21083121 28110828 42166242 56221656 84332484 168664968