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723471641007361 is a prime number
BaseRepresentation
bin1010010001111111100101111…
…0001010101101010100000001
310111212121012202120201002212121
42210133321132022231110001
51224311324410044213421
611042410141132324241
7305250046462224211
oct24437713612552401
93455535676632777
10723471641007361
1119a57a666533424
1269185798913681
132508c1104b212c
14ca922ddcda241
155899257170d41
hex291fe5e2ad501

723471641007361 has 2 divisors, whose sum is σ = 723471641007362. Its totient is φ = 723471641007360.

The previous prime is 723471641007343. The next prime is 723471641007389. The reversal of 723471641007361 is 163700146174327.

723471641007361 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., 674990277330625 + 48481363676736 = 25980575^2 + 6962856^2 .

It is a cyclic number.

It is not a de Polignac number, because 723471641007361 - 213 = 723471640999169 is a prime.

It is a super-2 number, since 2×7234716410073612 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 723471641007299 and 723471641007308.

It is not a weakly prime, because it can be changed into another prime (723471641002361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 361735820503680 + 361735820503681.

It is an arithmetic number, because the mean of its divisors is an integer number (361735820503681).

Almost surely, 2723471641007361 is an apocalyptic number.

It is an amenable number.

723471641007361 is a deficient number, since it is larger than the sum of its proper divisors (1).

723471641007361 is an equidigital number, since it uses as much as digits as its factorization.

723471641007361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 723471641007361 in words is "seven hundred twenty-three trillion, four hundred seventy-one billion, six hundred forty-one million, seven thousand, three hundred sixty-one".