Search a number
-
+
627406382760673 is a prime number
BaseRepresentation
bin1000111010100111110110111…
…0100100110000001011100001
310001021110110112120011212100111
42032221331232210300023201
51124213411232441320143
610102214302505051321
7246103421022113065
oct21651755644601341
93037413476155314
10627406382760673
11171a0260968823a
125a44b688186b41
1320c11225209979
14b0d08b948baa5
154c8042e68e99d
hex23a9f6e9302e1

627406382760673 has 2 divisors, whose sum is σ = 627406382760674. Its totient is φ = 627406382760672.

The previous prime is 627406382760629. The next prime is 627406382760877. The reversal of 627406382760673 is 376067283604726.

It is a happy number.

627406382760673 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., 510322015534864 + 117084367225809 = 22590308^2 + 10820553^2 .

It is a cyclic number.

It is not a de Polignac number, because 627406382760673 - 241 = 625207359505121 is a prime.

It is a super-2 number, since 2×6274063827606732 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 627406382760599 and 627406382760608.

It is not a weakly prime, because it can be changed into another prime (627406382760173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 313703191380336 + 313703191380337.

It is an arithmetic number, because the mean of its divisors is an integer number (313703191380337).

Almost surely, 2627406382760673 is an apocalyptic number.

It is an amenable number.

627406382760673 is a deficient number, since it is larger than the sum of its proper divisors (1).

627406382760673 is an equidigital number, since it uses as much as digits as its factorization.

627406382760673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512096256, while the sum is 67.

The spelling of 627406382760673 in words is "six hundred twenty-seven trillion, four hundred six billion, three hundred eighty-two million, seven hundred sixty thousand, six hundred seventy-three".