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1666465056 = 253316311833
BaseRepresentation
bin110001101010100…
…0011110100100000
311022010202012022000
41203111003310200
511403103340211
6433210044000
756203501464
oct14325036440
94263665260
101666465056
11785748953
123a6119600
132073375c9
1411b4764a4
159b47c656
hex63543d20

1666465056 has 96 divisors (see below), whose sum is σ = 4890755520. Its totient is φ = 552033792.

The previous prime is 1666465051. The next prime is 1666465057. The reversal of 1666465056 is 6505646661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1666465051) 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 15 ways as a sum of consecutive naturals, for example, 134916 + ... + 146748.

It is an arithmetic number, because the mean of its divisors is an integer number (50945370).

Almost surely, 21666465056 is an apocalyptic number.

1666465056 is a gapful number since it is divisible by the number (16) 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 1666465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445377760).

1666465056 is an abundant number, since it is smaller than the sum of its proper divisors (3224290464).

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

1666465056 is a wasteful number, since it uses less digits than its factorization.

1666465056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 1666465056 is about 40822.3597554086. The cubic root of 1666465056 is about 1185.5832923935.

The spelling of 1666465056 in words is "one billion, six hundred sixty-six million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 163 216 288 326 432 489 652 864 978 1304 1467 1956 2608 2934 3912 4401 5216 5868 7824 8802 11736 11833 15648 17604 23472 23666 35208 35499 46944 47332 70416 70998 94664 106497 140832 141996 189328 212994 283992 319491 378656 425988 567984 638982 851976 1135968 1277964 1703952 1928779 2555928 3407904 3857558 5111856 5786337 7715116 10223712 11572674 15430232 17359011 23145348 30860464 34718022 46290696 52077033 61720928 69436044 92581392 104154066 138872088 185162784 208308132 277744176 416616264 555488352 833232528 1666465056