Search a number
-
+
23540174753 is a prime number
BaseRepresentation
bin10101111011000110…
…101000111110100001
32020202112222210001012
4111323012220332201
5341202241043003
614451511350305
71462230120044
oct257306507641
966675883035
1023540174753
119a8a8a6787
12468b682395
1322b1c6c4b4
1411d4540c5b
1592b9618d8
hex57b1a8fa1

23540174753 has 2 divisors, whose sum is σ = 23540174754. Its totient is φ = 23540174752.

The previous prime is 23540174719. The next prime is 23540174759. The reversal of 23540174753 is 35747104532.

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., 17167026529 + 6373148224 = 131023^2 + 79832^2 .

It is a cyclic number.

It is not a de Polignac number, because 23540174753 - 210 = 23540173729 is a prime.

It is a super-2 number, since 2×235401747532 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23540174753.

It is not a weakly prime, because it can be changed into another prime (23540174759) 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, 11770087376 + 11770087377.

It is an arithmetic number, because the mean of its divisors is an integer number (11770087377).

Almost surely, 223540174753 is an apocalyptic number.

It is an amenable number.

23540174753 is a deficient number, since it is larger than the sum of its proper divisors (1).

23540174753 is an equidigital number, since it uses as much as digits as its factorization.

23540174753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 23540174753 in words is "twenty-three billion, five hundred forty million, one hundred seventy-four thousand, seven hundred fifty-three".