Search a number
-
+
23623873057 is a prime number
BaseRepresentation
bin10110000000000101…
…111011001000100001
32020222101111002112101
4112000011323020201
5341340202414212
614504101330401
71464264415321
oct260005731041
966871432471
1023623873057
11a023073534
1246b3706a01
1322c63c6015
1412016cb281
15933e96157
hex58017b221

23623873057 has 2 divisors, whose sum is σ = 23623873058. Its totient is φ = 23623873056.

The previous prime is 23623873043. The next prime is 23623873061. The reversal of 23623873057 is 75037832632.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21185093601 + 2438779456 = 145551^2 + 49384^2 .

It is a cyclic number.

It is not a de Polignac number, because 23623873057 - 211 = 23623871009 is a prime.

It is a super-3 number, since 3×236238730573 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23623872998 and 23623873016.

It is not a weakly prime, because it can be changed into another prime (23623873037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11811936528 + 11811936529.

It is an arithmetic number, because the mean of its divisors is an integer number (11811936529).

Almost surely, 223623873057 is an apocalyptic number.

It is an amenable number.

23623873057 is a deficient number, since it is larger than the sum of its proper divisors (1).

23623873057 is an equidigital number, since it uses as much as digits as its factorization.

23623873057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 46.

It can be divided in two parts, 2362387 and 3057, that added together give a square (2365444 = 15382).

The spelling of 23623873057 in words is "twenty-three billion, six hundred twenty-three million, eight hundred seventy-three thousand, fifty-seven".