Search a number
-
+
54162610441 is a prime number
BaseRepresentation
bin110010011100010101…
…111101100100001001
312011210200111200122221
4302130111331210021
51341411112013231
640514300414041
73625125410152
oct623425754411
9164720450587
1054162610441
1120a74421975
12a5b6b47321
135152287124
14289b4d2929
15162003ad11
hexc9c57d909

54162610441 has 2 divisors, whose sum is σ = 54162610442. Its totient is φ = 54162610440.

The previous prime is 54162610427. The next prime is 54162610493. The reversal of 54162610441 is 14401626145.

54162610441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51667108416 + 2495502025 = 227304^2 + 49955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54162610441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54162610397 and 54162610406.

It is not a weakly prime, because it can be changed into another prime (54162610141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27081305220 + 27081305221.

It is an arithmetic number, because the mean of its divisors is an integer number (27081305221).

Almost surely, 254162610441 is an apocalyptic number.

It is an amenable number.

54162610441 is a deficient number, since it is larger than the sum of its proper divisors (1).

54162610441 is an equidigital number, since it uses as much as digits as its factorization.

54162610441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 34.

It can be divided in two parts, 541626104 and 41, that added together give a palindrome (541626145).

The spelling of 54162610441 in words is "fifty-four billion, one hundred sixty-two million, six hundred ten thousand, four hundred forty-one".