Search a number
-
+
64453531129 = 1325923312
BaseRepresentation
bin111100000001101110…
…101101010111111001
320011100212200121221121
4330001232231113321
52024000100444004
645335354505241
74441134655321
oct740156552771
9204325617847
1064453531129
11253753799a9
12105a9435221
136102313900
143196144281
151a23712854
hexf01bad5f9

64453531129 has 27 divisors (see below), whose sum is σ = 71210993679. Its totient is φ = 58310469360.

The previous prime is 64453531081. The next prime is 64453531159. The reversal of 64453531129 is 92113535446.

The square root of 64453531129 is 253877.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9534546025 + 54918985104 = 97645^2 + 234348^2 .

It is not a de Polignac number, because 64453531129 - 219 = 64453006841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64453531159) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194723494 + ... + 194723824.

Almost surely, 264453531129 is an apocalyptic number.

64453531129 is the 253877-th square number.

64453531129 is the 126939-th centered octagonal number.

It is an amenable number.

64453531129 is a deficient number, since it is larger than the sum of its proper divisors (6757462550).

64453531129 is an frugal number, since it uses more digits than its factorization.

64453531129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its digits is 388800, while the sum is 43.

The spelling of 64453531129 in words is "sixty-four billion, four hundred fifty-three million, five hundred thirty-one thousand, one hundred twenty-nine".

Divisors: 1 13 59 169 331 767 3481 4303 9971 19529 45253 55939 109561 253877 588289 1152211 1424293 3300401 6464099 14978743 18515809 84033287 194723659 381381841 1092432731 4957963933 64453531129