Search a number
-
+
19874387268 = 22321732474489
BaseRepresentation
bin10010100000100110…
…110001010101000100
31220022002011110222100
4102200212301111010
5311200320343033
613044041032100
71302335335011
oct224046612504
956262143870
1019874387268
11847963434a
123a27a85630
131b49667088
14d67748708
157b4c07513
hex4a09b1544

19874387268 has 36 divisors (see below), whose sum is σ = 53193214620. Its totient is φ = 6235101696.

The previous prime is 19874387257. The next prime is 19874387293. The reversal of 19874387268 is 86278347891.

19874387268 is a `hidden beast` number, since 198 + 7 + 4 + 387 + 2 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18213661764 + 1660725504 = 134958^2 + 40752^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16236633 + ... + 16237856.

It is an arithmetic number, because the mean of its divisors is an integer number (1477589295).

Almost surely, 219874387268 is an apocalyptic number.

19874387268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19874387268 is an abundant number, since it is smaller than the sum of its proper divisors (33318827352).

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

19874387268 is a wasteful number, since it uses less digits than its factorization.

19874387268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32474516 (or 32474511 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 19874387268 in words is "nineteen billion, eight hundred seventy-four million, three hundred eighty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 32474489 64948978 97423467 129897956 194846934 292270401 389693868 552066313 584540802 1104132626 1169081604 1656198939 2208265252 3312397878 4968596817 6624795756 9937193634 19874387268