Search a number
-
+
33406306541 is a prime number
BaseRepresentation
bin11111000111001010…
…111100100011101101
310012020010212012111122
4133013022330203231
51021404003302131
623202513030325
72261560630466
oct370712744355
9105203765448
1033406306541
1113192a97603
1265838553a5
1331c4cb85ba
14188c9b7d6d
15d07bc9d7b
hex7c72bc8ed

33406306541 has 2 divisors, whose sum is σ = 33406306542. Its totient is φ = 33406306540.

The previous prime is 33406306471. The next prime is 33406306547. The reversal of 33406306541 is 14560360433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33020341225 + 385965316 = 181715^2 + 19646^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33406306541 is a prime.

It is a super-2 number, since 2×334063065412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33406306547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16703153270 + 16703153271.

It is an arithmetic number, because the mean of its divisors is an integer number (16703153271).

Almost surely, 233406306541 is an apocalyptic number.

It is an amenable number.

33406306541 is a deficient number, since it is larger than the sum of its proper divisors (1).

33406306541 is an equidigital number, since it uses as much as digits as its factorization.

33406306541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 33406306541 its reverse (14560360433), we get a palindrome (47966666974).

The spelling of 33406306541 in words is "thirty-three billion, four hundred six million, three hundred six thousand, five hundred forty-one".