Search a number
-
+
626724044033281 is a prime number
BaseRepresentation
bin1000111010000000001001000…
…0000001000100110100000001
310001012001020022012111002000021
42032200002100001010310001
51124121221320233031111
610100533015014053441
7246003214025454205
oct21640022001046401
93035036265432007
10626724044033281
1117176a1a1216107
125a35b39a34a281
1320b91a92a62cbc
14b0a98699dcb05
154c6c7e5d81d71
hex23a0090044d01

626724044033281 has 2 divisors, whose sum is σ = 626724044033282. Its totient is φ = 626724044033280.

The previous prime is 626724044033237. The next prime is 626724044033309. The reversal of 626724044033281 is 182330440427626.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 621905839041600 + 4818204991681 = 24938040^2 + 2195041^2 .

It is a cyclic number.

It is not a de Polignac number, because 626724044033281 - 231 = 626721896549633 is a prime.

It is a super-2 number, since 2×6267240440332812 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (626724044063281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 313362022016640 + 313362022016641.

It is an arithmetic number, because the mean of its divisors is an integer number (313362022016641).

Almost surely, 2626724044033281 is an apocalyptic number.

It is an amenable number.

626724044033281 is a deficient number, since it is larger than the sum of its proper divisors (1).

626724044033281 is an equidigital number, since it uses as much as digits as its factorization.

626724044033281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9289728, while the sum is 52.

The spelling of 626724044033281 in words is "six hundred twenty-six trillion, seven hundred twenty-four billion, forty-four million, thirty-three thousand, two hundred eighty-one".