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1666746368 = 2117217977
BaseRepresentation
bin110001101011000…
…1000100000000000
311022011021111011222
41203112020200000
511403141340433
6433220054212
756206052600
oct14326104000
94264244158
101666746368
11785920241
123a6234368
13207405671
1411b50ac00
159b4d5b98
hex63588800

1666746368 has 144 divisors (see below), whose sum is σ = 4109037660. Its totient is φ = 671612928.

The previous prime is 1666746311. The next prime is 1666746373. The reversal of 1666746368 is 8636476661.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1399358464 + 267387904 = 37408^2 + 16352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705496 + ... + 1706472.

Almost surely, 21666746368 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 1666746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054518830).

1666746368 is an abundant number, since it is smaller than the sum of its proper divisors (2442291292).

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

1666746368 is an equidigital number, since it uses as much as digits as its factorization.

1666746368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1003 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 53.

The square root of 1666746368 is about 40825.8051727091. The cubic root of 1666746368 is about 1185.6500004714.

The spelling of 1666746368 in words is "one billion, six hundred sixty-six million, seven hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 512 544 784 833 896 952 977 1024 1088 1568 1666 1792 1904 1954 2048 2176 3136 3332 3584 3808 3908 4352 6272 6664 6839 7168 7616 7816 8704 12544 13328 13678 14336 15232 15632 16609 17408 25088 26656 27356 30464 31264 33218 34816 47873 50176 53312 54712 60928 62528 66436 95746 100352 106624 109424 116263 121856 125056 132872 191492 213248 218848 232526 243712 250112 265744 382984 426496 437696 465052 500224 531488 765968 813841 852992 875392 930104 1000448 1062976 1531936 1627682 1705984 1750784 1860208 2000896 2125952 3063872 3255364 3501568 3720416 4251904 6127744 6510728 7003136 7440832 8503808 12255488 13021456 14006272 14881664 17007616 24510976 26042912 29763328 34015232 49021952 52085824 59526656 98043904 104171648 119053312 208343296 238106624 416686592 833373184 1666746368