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1668722500 = 2254192432
BaseRepresentation
bin110001101110110…
…1010111101000100
311022021222212221001
41203131222331010
511404143110000
6433330303044
756231623114
oct14335527504
94267885831
101668722500
11786a4aa05
123a6a27a84
13207947c83
1411b8a3044
159b77646a
hex6376af44

1668722500 has 135 divisors (see below), whose sum is σ = 3942980811. Its totient is φ = 617652000.

The previous prime is 1668722483. The next prime is 1668722579. The reversal of 1668722500 is 52278661.

It is a happy number.

The square root of 1668722500 is 40850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 130827844 + 1537894656 = 11438^2 + 39216^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1668722500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38807479 + ... + 38807521.

Almost surely, 21668722500 is an apocalyptic number.

1668722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1668722500 is the 40850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668722500

1668722500 is an abundant number, since it is smaller than the sum of its proper divisors (2274258311).

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

1668722500 is an equidigital number, since it uses as much as digits as its factorization.

1668722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The cubic root of 1668722500 is about 1186.1183931814.

The spelling of 1668722500 in words is "one billion, six hundred sixty-eight million, seven hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 125 172 190 215 250 361 380 430 475 500 625 722 817 860 950 1075 1250 1444 1634 1805 1849 1900 2150 2375 2500 3268 3610 3698 4085 4300 4750 5375 7220 7396 8170 9025 9245 9500 10750 11875 15523 16340 18050 18490 20425 21500 23750 26875 31046 35131 36100 36980 40850 45125 46225 47500 53750 62092 70262 77615 81700 90250 92450 102125 107500 140524 155230 175655 180500 184900 204250 225625 231125 310460 351310 388075 408500 451250 462250 510625 667489 702620 776150 878275 902500 924500 1021250 1155625 1334978 1552300 1756550 1940375 2042500 2311250 2669956 3337445 3513100 3880750 4391375 4622500 6674890 7761500 8782750 9701875 13349780 16687225 17565500 19403750 21956875 33374450 38807500 43913750 66748900 83436125 87827500 166872250 333744500 417180625 834361250 1668722500