Search a number
-
+
264435311626033 = 89127120731937807
BaseRepresentation
bin111100001000000010100100…
…110100001100011100110001
31021200021202202112100002221211
4330020002210310030130301
5234130002004234013113
62334223523300520121
7106461551351244412
oct7410024464143461
91250252675302854
10264435311626033
1177291427664729
12257a94029b0041
13b4721b1c065b2
144942a474c7809
1520888815ceb3d
hexf080a4d0c731

264435311626033 has 16 divisors (see below), whose sum is σ = 269534520483840. Its totient is φ = 259383735426816.

The previous prime is 264435311626027. The next prime is 264435311626093. The reversal of 264435311626033 is 330626113534462.

It is a cyclic number.

It is not a de Polignac number, because 264435311626033 - 221 = 264435309528881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264435311626093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135492216 + ... + 137430022.

It is an arithmetic number, because the mean of its divisors is an integer number (16845907530240).

Almost surely, 2264435311626033 is an apocalyptic number.

It is an amenable number.

264435311626033 is a deficient number, since it is larger than the sum of its proper divisors (5099208857807).

264435311626033 is a wasteful number, since it uses less digits than its factorization.

264435311626033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950096.

The product of its (nonzero) digits is 5598720, while the sum is 49.

The spelling of 264435311626033 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, three hundred eleven million, six hundred twenty-six thousand, thirty-three".

Divisors: 1 89 127 11303 12073 1074497 1533271 1937807 136461119 172464823 246101489 21903032521 23395143911 2082167808079 2971183276697 264435311626033