Search a number
-
+
180381756312497 is a prime number
BaseRepresentation
bin101001000000111001100110…
…100000100100101110110001
3212122200022211202000120110202
4221000321212200210232301
5142120333314103444442
61435350122422004545
752665103035350405
oct5100714640445661
9778608752016422
10180381756312497
1152525522994223
1218293239276755
137985c07a7381c
143278748a27105
1515cc22415ec32
hexa40e66824bb1

180381756312497 has 2 divisors, whose sum is σ = 180381756312498. Its totient is φ = 180381756312496.

The previous prime is 180381756312493. The next prime is 180381756312523. The reversal of 180381756312497 is 794213657183081.

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., 133015647964081 + 47366108348416 = 11533241^2 + 6882304^2 .

It is a cyclic number.

It is not a de Polignac number, because 180381756312497 - 22 = 180381756312493 is a prime.

It is not a weakly prime, because it can be changed into another prime (180381756312493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90190878156248 + 90190878156249.

It is an arithmetic number, because the mean of its divisors is an integer number (90190878156249).

It is a 1-persistent number, because it is pandigital, but 2⋅180381756312497 = 360763512624994 is not.

Almost surely, 2180381756312497 is an apocalyptic number.

It is an amenable number.

180381756312497 is a deficient number, since it is larger than the sum of its proper divisors (1).

180381756312497 is an equidigital number, since it uses as much as digits as its factorization.

180381756312497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60963840, while the sum is 65.

The spelling of 180381756312497 in words is "one hundred eighty trillion, three hundred eighty-one billion, seven hundred fifty-six million, three hundred twelve thousand, four hundred ninety-seven".