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1666828801 = 111731417013
BaseRepresentation
bin110001101011001…
…1100101000000001
311022011102200021001
41203112130220001
511403202010201
6433221532001
756206545121
oct14326345001
94264380231
101666828801
11785977170
123a6274001
13207434041
1411b52cc81
159b500301
hex6359ca01

1666828801 has 32 divisors (see below), whose sum is σ = 2036192256. Its totient is φ = 1346304000.

The previous prime is 1666828771. The next prime is 1666828811. The reversal of 1666828801 is 1088286661.

It is a cyclic number.

It is not a de Polignac number, because 1666828801 - 25 = 1666828769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1666828811) 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, 234171 + ... + 241183.

It is an arithmetic number, because the mean of its divisors is an integer number (63631008).

Almost surely, 21666828801 is an apocalyptic number.

1666828801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1666828801 is a deficient number, since it is larger than the sum of its proper divisors (369363455).

1666828801 is a wasteful number, since it uses less digits than its factorization.

1666828801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7113.

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 1666828801 is about 40826.8147300276. The cubic root of 1666828801 is about 1185.6695465517.

The spelling of 1666828801 in words is "one billion, six hundred sixty-six million, eight hundred twenty-eight thousand, eight hundred one".

Divisors: 1 11 17 31 41 187 341 451 527 697 1271 5797 7013 7667 13981 21607 77143 119221 217403 237677 287533 1311431 2391433 3162863 3695851 4888061 8913523 40654361 53768671 98048753 151529891 1666828801