Search a number
-
+
77972000173 is a prime number
BaseRepresentation
bin100100010011101111…
…1100100110110101101
321110021000002000020021
41020213133210312231
52234141313001143
655453030322141
75430135031444
oct1104737446655
9243230060207
1077972000173
1130082185871
12131407b9351
137477c36012
143ab96b1d5b
152065429ced
hex12277e4dad

77972000173 has 2 divisors, whose sum is σ = 77972000174. Its totient is φ = 77972000172.

The previous prime is 77972000153. The next prime is 77972000219. The reversal of 77972000173 is 37100027977.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74967535204 + 3004464969 = 273802^2 + 54813^2 .

It is a cyclic number.

It is not a de Polignac number, because 77972000173 - 221 = 77969903021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77972000153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38986000086 + 38986000087.

It is an arithmetic number, because the mean of its divisors is an integer number (38986000087).

Almost surely, 277972000173 is an apocalyptic number.

It is an amenable number.

77972000173 is a deficient number, since it is larger than the sum of its proper divisors (1).

77972000173 is an equidigital number, since it uses as much as digits as its factorization.

77972000173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129654, while the sum is 43.

The spelling of 77972000173 in words is "seventy-seven billion, nine hundred seventy-two million, one hundred seventy-three", and thus it is an aban number.