Search a number
-
+
2653627333493 is a prime number
BaseRepresentation
bin100110100111011000100…
…000111011101101110101
3100101200110211222201012002
4212213120200323231311
5321434112044132433
65351020511105045
7362501234112113
oct46473040735565
910350424881162
102653627333493
119334404a4804
1236a35a512185
1316330b5c1a76
14926170caab3
1549060da09e8
hex269d883bb75

2653627333493 has 2 divisors, whose sum is σ = 2653627333494. Its totient is φ = 2653627333492.

The previous prime is 2653627333453. The next prime is 2653627333501. The reversal of 2653627333493 is 3943337263562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1764014298244 + 889613035249 = 1328162^2 + 943193^2 .

It is a cyclic number.

It is not a de Polignac number, because 2653627333493 - 220 = 2653626284917 is a prime.

It is a super-2 number, since 2×26536273334932 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2653627333453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1326813666746 + 1326813666747.

It is an arithmetic number, because the mean of its divisors is an integer number (1326813666747).

Almost surely, 22653627333493 is an apocalyptic number.

It is an amenable number.

2653627333493 is a deficient number, since it is larger than the sum of its proper divisors (1).

2653627333493 is an equidigital number, since it uses as much as digits as its factorization.

2653627333493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44089920, while the sum is 56.

The spelling of 2653627333493 in words is "two trillion, six hundred fifty-three billion, six hundred twenty-seven million, three hundred thirty-three thousand, four hundred ninety-three".