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1666939296 = 253114138501
BaseRepresentation
bin110001101011011…
…0111100110100000
311022011122021211110
41203112313212200
511403214024141
6433224143320
756210515221
oct14326674640
94264567743
101666939296
11785a42190
123a6307b40
13207472419
1411b55b248
159b522e16
hex635b79a0

1666939296 has 96 divisors (see below), whose sum is σ = 4890062016. Its totient is φ = 492800000.

The previous prime is 1666939279. The next prime is 1666939303. The reversal of 1666939296 is 6929396661.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24046 + ... + 62546.

It is an arithmetic number, because the mean of its divisors is an integer number (50938146).

Almost surely, 21666939296 is an apocalyptic number.

1666939296 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 1666939296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445031008).

1666939296 is an abundant number, since it is smaller than the sum of its proper divisors (3223122720).

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

1666939296 is a wasteful number, since it uses less digits than its factorization.

1666939296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38566 (or 38558 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 57.

The square root of 1666939296 is about 40828.1679236284. The cubic root of 1666939296 is about 1185.6957455354.

The spelling of 1666939296 in words is "one billion, six hundred sixty-six million, nine hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 38501 43296 77002 115503 154004 231006 308008 423511 462012 616016 847022 924024 1232032 1270533 1578541 1694044 1848048 2541066 3157082 3388088 3696096 4735623 5082132 6314164 6776176 9471246 10164264 12628328 13552352 17363951 18942492 20328528 25256656 34727902 37884984 40657056 50513312 52091853 69455804 75769968 104183706 138911608 151539936 208367412 277823216 416734824 555646432 833469648 1666939296