Search a number
-
+
16666810000 = 245412912
BaseRepresentation
bin11111000010110101…
…10101011010010000
31121000112112200011021
433201122311122100
5233113200410000
611353455325224
71130006355541
oct174132653220
947015480137
1016666810000
117082a86045
123291820814
131757c74669
14b4174a4c8
1567830e11a
hex3e16b5690

16666810000 has 75 divisors (see below), whose sum is σ = 40383294303. Its totient is φ = 6661560000.

The previous prime is 16666809983. The next prime is 16666810009. The reversal of 16666810000 is 1866661.

The square root of 16666810000 is 129100.

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

16666810000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1306677904 + 15360132096 = 36148^2 + 123936^2 .

It is a super-2 number, since 2×166668100002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16666810009) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 12909355 + ... + 12910645.

Almost surely, 216666810000 is an apocalyptic number.

16666810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16666810000 is the 129100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16666810000

16666810000 is an abundant number, since it is smaller than the sum of its proper divisors (23716484303).

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

16666810000 is an frugal number, since it uses more digits than its factorization.

16666810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 16666810000 in words is "sixteen billion, six hundred sixty-six million, eight hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1291 2000 2500 2582 5000 5164 6455 10000 10328 12910 20656 25820 32275 51640 64550 103280 129100 161375 258200 322750 516400 645500 806875 1291000 1613750 1666681 2582000 3227500 3333362 6455000 6666724 8333405 12910000 13333448 16666810 26666896 33333620 41667025 66667240 83334050 133334480 166668100 208335125 333336200 416670250 666672400 833340500 1041675625 1666681000 2083351250 3333362000 4166702500 8333405000 16666810000