Search a number
-
+
166953015553 is a prime number
BaseRepresentation
bin1001101101111100101…
…1001101100100000001
3120221221020112221020111
42123133023031210001
510213404432444203
6204410330311321
715030152134402
oct2333713154401
9527836487214
10166953015553
1164893696705
1228434288541
1312988901bcc
14811b11d9a9
1545220c526d
hex26df2cd901

166953015553 has 2 divisors, whose sum is σ = 166953015554. Its totient is φ = 166953015552.

The previous prime is 166953015517. The next prime is 166953015571. The reversal of 166953015553 is 355510359661.

166953015553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144790143169 + 22162872384 = 380513^2 + 148872^2 .

It is an emirp because it is prime and its reverse (355510359661) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 166953015553 - 217 = 166952884481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166953015497 and 166953015506.

It is not a weakly prime, because it can be changed into another prime (166953012553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83476507776 + 83476507777.

It is an arithmetic number, because the mean of its divisors is an integer number (83476507777).

Almost surely, 2166953015553 is an apocalyptic number.

It is an amenable number.

166953015553 is a deficient number, since it is larger than the sum of its proper divisors (1).

166953015553 is an equidigital number, since it uses as much as digits as its factorization.

166953015553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1822500, while the sum is 49.

The spelling of 166953015553 in words is "one hundred sixty-six billion, nine hundred fifty-three million, fifteen thousand, five hundred fifty-three".