Search a number
-
+
146673486881 is a prime number
BaseRepresentation
bin1000100010011001101…
…0111100110000100001
3112000120221001010201222
42020212122330300201
54400341403040011
6151214133504425
713411464032165
oct2104632746041
9460527033658
10146673486881
11572273a5659
12245147a2115
1310aa63462bc
147155a72ca5
153c36a40ddb
hex22266bcc21

146673486881 has 2 divisors, whose sum is σ = 146673486882. Its totient is φ = 146673486880.

The previous prime is 146673486859. The next prime is 146673486887. The reversal of 146673486881 is 188684376641.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144631893025 + 2041593856 = 380305^2 + 45184^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146673486881 is a prime.

It is a super-2 number, since 2×1466734868812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (146673486887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73336743440 + 73336743441.

It is an arithmetic number, because the mean of its divisors is an integer number (73336743441).

Almost surely, 2146673486881 is an apocalyptic number.

It is an amenable number.

146673486881 is a deficient number, since it is larger than the sum of its proper divisors (1).

146673486881 is an equidigital number, since it uses as much as digits as its factorization.

146673486881 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37158912, while the sum is 62.

The spelling of 146673486881 in words is "one hundred forty-six billion, six hundred seventy-three million, four hundred eighty-six thousand, eight hundred eighty-one".