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76323177132401 is a prime number
BaseRepresentation
bin10001010110101001011111…
…110111000111000101110001
3101000020102110102221200000002
4101112221133313013011301
540000434331321214101
6430154214502035345
722035111323322263
oct2126513767070561
9330212412850002
1076323177132401
1122356528828451
128687b39718b55
133378324863114
1414bc0c09d3b33
158c551ac8ad6b
hex456a5fdc7171

76323177132401 has 2 divisors, whose sum is σ = 76323177132402. Its totient is φ = 76323177132400.

The previous prime is 76323177132359. The next prime is 76323177132469. The reversal of 76323177132401 is 10423177132367.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76279244972401 + 43932160000 = 8733799^2 + 209600^2 .

It is a cyclic number.

It is not a de Polignac number, because 76323177132401 - 234 = 76305997263217 is a prime.

It is a super-3 number, since 3×763231771324013 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (76323177134401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38161588566200 + 38161588566201.

It is an arithmetic number, because the mean of its divisors is an integer number (38161588566201).

Almost surely, 276323177132401 is an apocalyptic number.

It is an amenable number.

76323177132401 is a deficient number, since it is larger than the sum of its proper divisors (1).

76323177132401 is an equidigital number, since it uses as much as digits as its factorization.

76323177132401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 889056, while the sum is 47.

The spelling of 76323177132401 in words is "seventy-six trillion, three hundred twenty-three billion, one hundred seventy-seven million, one hundred thirty-two thousand, four hundred one".