Search a number
-
+
73038417701 is a prime number
BaseRepresentation
bin100010000000101101…
…1011100111100100101
320222112011200001101112
41010001123130330211
52144040313331301
653315310434405
75163650210204
oct1040133347445
9228464601345
1073038417701
1128a80312287
12121a4502a05
136b6ca90452
14376c37d23b
151d772429bb
hex11016dcf25

73038417701 has 2 divisors, whose sum is σ = 73038417702. Its totient is φ = 73038417700.

The previous prime is 73038417691. The next prime is 73038417713. The reversal of 73038417701 is 10771483037.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58056902500 + 14981515201 = 240950^2 + 122399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-73038417701 is a prime.

It is a super-2 number, since 2×730384177012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73038411701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36519208850 + 36519208851.

It is an arithmetic number, because the mean of its divisors is an integer number (36519208851).

Almost surely, 273038417701 is an apocalyptic number.

It is an amenable number.

73038417701 is a deficient number, since it is larger than the sum of its proper divisors (1).

73038417701 is an equidigital number, since it uses as much as digits as its factorization.

73038417701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 73038417701 in words is "seventy-three billion, thirty-eight million, four hundred seventeen thousand, seven hundred one".