Search a number
-
+
47029378050 = 23252102232
BaseRepresentation
bin101011110011001010…
…110101110000000010
311111101120001221101200
4223303022311300002
51232304010044200
633334402442030
73253301055234
oct536312656002
9144346057350
1047029378050
1118a43948896
129146063316
1345864a3365
1423c1db4254
151353ba5800
hexaf32b5c02

47029378050 has 54 divisors (see below), whose sum is σ = 126364623177. Its totient is φ = 12539940720.

The previous prime is 47029378049. The next prime is 47029378141. The reversal of 47029378050 is 5087392074.

47029378050 is a `hidden beast` number, since 470 + 29 + 37 + 80 + 50 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46088790489 + 940587561 = 214683^2 + 30669^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=153345.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 47029377987 and 47029378005.

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 26 ways as a sum of consecutive naturals, for example, 4595239 + ... + 4605461.

Almost surely, 247029378050 is an apocalyptic number.

47029378050 is an abundant number, since it is smaller than the sum of its proper divisors (79335245127).

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

47029378050 is an equidigital number, since it uses as much as digits as its factorization.

47029378050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20464 (or 10233 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47029378050 in words is "forty-seven billion, twenty-nine million, three hundred seventy-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 10223 20446 30669 51115 61338 92007 102230 153345 184014 255575 306690 460035 511150 766725 920070 1533450 2300175 4600350 104509729 209019458 313529187 522548645 627058374 940587561 1045097290 1567645935 1881175122 2612743225 3135291870 4702937805 5225486450 7838229675 9405875610 15676459350 23514689025 47029378050