Search a number
-
+
27153400961 is a prime number
BaseRepresentation
bin11001010010011110…
…000000010010000001
32121002100220200121002
4121102132000102001
5421102232312321
620250223341345
71650613046201
oct312236002201
977070820532
1027153400961
1110574429045
125319751855
13273970077b
141458374401
15a8dc8720b
hex652780481

27153400961 has 2 divisors, whose sum is σ = 27153400962. Its totient is φ = 27153400960.

The previous prime is 27153400933. The next prime is 27153400969. The reversal of 27153400961 is 16900435172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16324917361 + 10828483600 = 127769^2 + 104060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27153400961 is a prime.

It is not a weakly prime, because it can be changed into another prime (27153400969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13576700480 + 13576700481.

It is an arithmetic number, because the mean of its divisors is an integer number (13576700481).

Almost surely, 227153400961 is an apocalyptic number.

It is an amenable number.

27153400961 is a deficient number, since it is larger than the sum of its proper divisors (1).

27153400961 is an equidigital number, since it uses as much as digits as its factorization.

27153400961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 27153400961 in words is "twenty-seven billion, one hundred fifty-three million, four hundred thousand, nine hundred sixty-one".