Search a number
-
+
264064342945 = 513210117592
BaseRepresentation
bin1111010111101101110…
…1100001101110100001
3221020121002122111121211
43311323131201232201
513311300432433240
6321150503150121
725035521611024
oct3657335415641
9836532574554
10264064342945
11a1a9748a277
1243216745341
131bb93b08700
14cad06771bb
156d0790bbea
hex3d7b761ba1

264064342945 has 36 divisors (see below), whose sum is σ = 346721808636. Its totient is φ = 192960892800.

The previous prime is 264064342891. The next prime is 264064342951. The reversal of 264064342945 is 549243460462.

It can be written as a sum of positive squares in 6 ways, for example, as 7428888481 + 256635454464 = 86191^2 + 506592^2 .

It is not a de Polignac number, because 264064342945 - 215 = 264064310177 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150120976 + ... + 150122734.

It is an arithmetic number, because the mean of its divisors is an integer number (9631161351).

Almost surely, 2264064342945 is an apocalyptic number.

It is an amenable number.

264064342945 is a deficient number, since it is larger than the sum of its proper divisors (82657465691).

264064342945 is an equidigital number, since it uses as much as digits as its factorization.

264064342945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 264064342945 in words is "two hundred sixty-four billion, sixty-four million, three hundred forty-two thousand, nine hundred forty-five".

Divisors: 1 5 13 65 101 169 505 845 1313 1759 6565 8795 17069 22867 85345 114335 177659 297271 888295 1486355 2309567 3094081 11547835 15470405 30024371 40223053 150121855 201115265 312502181 522899689 1562510905 2614498445 4062528353 20312641765 52812868589 264064342945