Search a number
-
+
464456664035053 is a prime number
BaseRepresentation
bin110100110011010111011111…
…0011110010010111011101101
32020220111121211111021221011221
41221212232332132102323231
5441334124221443110203
64323452240150343341
7166554613053216454
oct15146567636227355
92226447744257157
10464456664035053
11124a98a6853a9a8
124411299105ab51
1316c210c9ac7b11
148299b72c77b9b
1538a68b4ecdabd
hex1a66bbe792eed

464456664035053 has 2 divisors, whose sum is σ = 464456664035054. Its totient is φ = 464456664035052.

The previous prime is 464456664035027. The next prime is 464456664035057. The reversal of 464456664035053 is 350530466654464.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462521885967684 + 1934778067369 = 21506322^2 + 1390963^2 .

It is a cyclic number.

It is not a de Polignac number, because 464456664035053 - 221 = 464456661937901 is a prime.

It is a super-2 number, since 2×4644566640350532 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464456664034982 and 464456664035000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (464456664035057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232228332017526 + 232228332017527.

It is an arithmetic number, because the mean of its divisors is an integer number (232228332017527).

Almost surely, 2464456664035053 is an apocalyptic number.

It is an amenable number.

464456664035053 is a deficient number, since it is larger than the sum of its proper divisors (1).

464456664035053 is an equidigital number, since it uses as much as digits as its factorization.

464456664035053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248000, while the sum is 61.

The spelling of 464456664035053 in words is "four hundred sixty-four trillion, four hundred fifty-six billion, six hundred sixty-four million, thirty-five thousand, fifty-three".