Search a number
-
+
46861578097 is a prime number
BaseRepresentation
bin101011101001001010…
…101110111101110001
311110221212022211010121
4223221022232331301
51231433030444342
633310010130241
73246162561445
oct535112567561
9143855284117
1046861578097
1118968159244
1290b9a20981
13455a7b1549
1423a79b4825
1513440ac067
hexae92aef71

46861578097 has 2 divisors, whose sum is σ = 46861578098. Its totient is φ = 46861578096.

The previous prime is 46861577989. The next prime is 46861578109. The reversal of 46861578097 is 79087516864.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37698493921 + 9163084176 = 194161^2 + 95724^2 .

It is a cyclic number.

It is not a de Polignac number, because 46861578097 - 27 = 46861577969 is a prime.

It is a super-3 number, since 3×468615780973 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (46861578697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23430789048 + 23430789049.

It is an arithmetic number, because the mean of its divisors is an integer number (23430789049).

Almost surely, 246861578097 is an apocalyptic number.

It is an amenable number.

46861578097 is a deficient number, since it is larger than the sum of its proper divisors (1).

46861578097 is an equidigital number, since it uses as much as digits as its factorization.

46861578097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 46861578097 in words is "forty-six billion, eight hundred sixty-one million, five hundred seventy-eight thousand, ninety-seven".