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1066410168 = 23331246237
BaseRepresentation
bin111111100100000…
…010000010111000
32202022122020201220
4333210002002320
54141000111133
6253452512040
735266223355
oct7744020270
92668566656
101066410168
114a7a6281a
1225917b620
1313cc1ca45
14a18b762c
156394d5b3
hex3f9020b8

1066410168 has 48 divisors (see below), whose sum is σ = 2754860040. Its totient is φ = 343995840.

The previous prime is 1066410167. The next prime is 1066410179. The reversal of 1066410168 is 8610146601.

It is a super-2 number, since 2×10664101682 = 2274461292827576448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066410161) 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 11 ways as a sum of consecutive naturals, for example, 55 + ... + 46182.

Almost surely, 21066410168 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 1066410168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377430020).

1066410168 is an abundant number, since it is smaller than the sum of its proper divisors (1688449872).

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

1066410168 is a wasteful number, since it uses less digits than its factorization.

1066410168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46308 (or 46273 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1066410168 is about 32655.9361831812. The cubic root of 1066410168 is about 1021.6640043977.

Adding to 1066410168 its reverse (8610146601), we get a palindrome (9676556769).

The spelling of 1066410168 in words is "one billion, sixty-six million, four hundred ten thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2883 3844 5766 7688 11532 23064 46237 92474 138711 184948 277422 369896 554844 1109688 1433347 2866694 4300041 5733388 8600082 11466776 17200164 34400328 44433757 88867514 133301271 177735028 266602542 355470056 533205084 1066410168