Search a number
-
+
260664882784 = 25371272417193
BaseRepresentation
bin1111001011000011010…
…1100111011001100000
3220220211011222000221221
43302300311213121200
513232320202222114
6315425305024424
724555342642325
oct3626065473140
9826734860857
10260664882784
11a0602592569
1242628185114
131b771741517
14c88adaab4c
156ba925e524
hex3cb0d67660

260664882784 has 96 divisors (see below), whose sum is σ = 533482177536. Its totient is φ = 125271982080.

The previous prime is 260664882773. The next prime is 260664882791. The reversal of 260664882784 is 487288466062.

260664882784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2606648827842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 36235092 + ... + 36242284.

It is an arithmetic number, because the mean of its divisors is an integer number (5557106016).

Almost surely, 2260664882784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260664882784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266741088768).

260664882784 is an abundant number, since it is smaller than the sum of its proper divisors (272817294752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260664882784 is a wasteful number, since it uses less digits than its factorization.

260664882784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 61.

The spelling of 260664882784 in words is "two hundred sixty billion, six hundred sixty-four million, eight hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 74 127 148 241 254 296 482 508 592 964 1016 1184 1928 2032 3856 4064 4699 7193 7712 8917 9398 14386 17834 18796 28772 30607 35668 37592 57544 61214 71336 75184 115088 122428 142672 150368 230176 244856 266141 285344 489712 532282 913511 979424 1064564 1132459 1733513 1827022 2129128 2264918 3467026 3654044 4258256 4529836 6934052 7308088 8516512 9059672 13868104 14616176 18119344 27736208 29232352 33799907 36238688 55472416 64139981 67599814 128279962 135199628 220156151 256559924 270399256 440312302 513119848 540798512 880624604 1026239696 1081597024 1761249208 2052479392 3522498416 7044996832 8145777587 16291555174 32583110348 65166220696 130332441392 260664882784