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73413146977 is a prime number
BaseRepresentation
bin100010001011111000…
…0111011100101100001
321000111021210021022121
41010113300323211201
52200322231200402
653420414304241
75206150311322
oct1042760734541
9230437707277
1073413146977
11291528979a5
1212289ab8081
136bcc5c4551
1437a6046449
151d9a0b3837
hex1117c3b961

73413146977 has 2 divisors, whose sum is σ = 73413146978. Its totient is φ = 73413146976.

The previous prime is 73413146929. The next prime is 73413147029. The reversal of 73413146977 is 77964131437.

It is an a-pointer prime, because the next prime (73413147029) can be obtained adding 73413146977 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72761825536 + 651321441 = 269744^2 + 25521^2 .

It is an emirp because it is prime and its reverse (77964131437) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73413146977 - 227 = 73278929249 is a prime.

It is a super-3 number, since 3×734131469773 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (73413146927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36706573488 + 36706573489.

It is an arithmetic number, because the mean of its divisors is an integer number (36706573489).

Almost surely, 273413146977 is an apocalyptic number.

It is an amenable number.

73413146977 is a deficient number, since it is larger than the sum of its proper divisors (1).

73413146977 is an equidigital number, since it uses as much as digits as its factorization.

73413146977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2667168, while the sum is 52.

The spelling of 73413146977 in words is "seventy-three billion, four hundred thirteen million, one hundred forty-six thousand, nine hundred seventy-seven".