Search a number
-
+
624906468001 is a prime number
BaseRepresentation
bin10010001011111110101…
…00111111101010100001
32012201222210202201112001
421011333110333222201
540214302023434001
61155024510204001
763101523223234
oct11057724775241
92181883681461
10624906468001
11221026456652
12a113bab3601
1346c0b9a623a
142236204141b
15113c6717001
hex917f53faa1

624906468001 has 2 divisors, whose sum is σ = 624906468002. Its totient is φ = 624906468000.

The previous prime is 624906467993. The next prime is 624906468007. The reversal of 624906468001 is 100864609426.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 604624435776 + 20282032225 = 777576^2 + 142415^2 .

It is a cyclic number.

It is not a de Polignac number, because 624906468001 - 23 = 624906467993 is a prime.

It is not a weakly prime, because it can be changed into another prime (624906468007) 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, 312453234000 + 312453234001.

It is an arithmetic number, because the mean of its divisors is an integer number (312453234001).

Almost surely, 2624906468001 is an apocalyptic number.

It is an amenable number.

624906468001 is a deficient number, since it is larger than the sum of its proper divisors (1).

624906468001 is an equidigital number, since it uses as much as digits as its factorization.

624906468001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 624906468001 in words is "six hundred twenty-four billion, nine hundred six million, four hundred sixty-eight thousand, one".