Search a number
-
+
10032538311553 = 196111376603559
BaseRepresentation
bin1001000111111110000111…
…1000011101101110000001
31022112002201211210202001111
42101333201320131232001
52303333114301432203
633200515014003321
72053553436415342
oct221774170355601
938462654722044
1010032538311553
11321885936909a
121160458946541
1357a0ab374c04
1426981271c0c9
15125e8181426d
hex91fe1e1db81

10032538311553 has 16 divisors (see below), whose sum is σ = 10828679241600. Its totient is φ = 9265966375680.

The previous prime is 10032538311529. The next prime is 10032538311557. The reversal of 10032538311553 is 35511383523001.

It is a cyclic number.

It is not a de Polignac number, because 10032538311553 - 29 = 10032538311041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10032538311557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38170813 + ... + 38432746.

It is an arithmetic number, because the mean of its divisors is an integer number (676792452600).

Almost surely, 210032538311553 is an apocalyptic number.

It is an amenable number.

10032538311553 is a deficient number, since it is larger than the sum of its proper divisors (796140930047).

10032538311553 is a wasteful number, since it uses less digits than its factorization.

10032538311553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76603752.

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 10032538311553 in words is "ten trillion, thirty-two billion, five hundred thirty-eight million, three hundred eleven thousand, five hundred fifty-three".

Divisors: 1 19 61 113 1159 2147 6893 130967 76603559 1455467621 4672817099 8656202167 88783524881 164467841173 528028332187 10032538311553