Search a number
-
+
10000048581 = 3225131314143
BaseRepresentation
bin10010101000000110…
…01010000111000101
3221210220212002202200
421110003022013011
5130440003023311
64332143425113
7502545003405
oct112403120705
927726762680
1010000048581
114271848566
121b30bb5199
13c34a06613
146ac176805
153d7dbc556
hex2540ca1c5

10000048581 has 24 divisors (see below), whose sum is σ = 14549423616. Its totient is φ = 6618456000.

The previous prime is 10000048549. The next prime is 10000048607. The reversal of 10000048581 is 18584000001.

10000048581 is a `hidden beast` number, since 100 + 0 + 0 + 0 + 485 + 81 = 666.

It is not a de Polignac number, because 10000048581 - 25 = 10000048549 is a prime.

It is a super-2 number, since 2×100000485812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000048501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 699996 + ... + 714138.

It is an arithmetic number, because the mean of its divisors is an integer number (606225984).

Almost surely, 210000048581 is an apocalyptic number.

It is an amenable number.

10000048581 is a deficient number, since it is larger than the sum of its proper divisors (4549375035).

10000048581 is a wasteful number, since it uses less digits than its factorization.

10000048581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14713 (or 14710 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 10000048581 its reverse (18584000001), we get a palindrome (28584048582).

The spelling of 10000048581 in words is "ten billion, forty-eight thousand, five hundred eighty-one".

Divisors: 1 3 9 251 313 753 939 2259 2817 14143 42429 78563 127287 235689 707067 3549893 4426759 10649679 13280277 31949037 39840831 1111116509 3333349527 10000048581