Search a number
-
+
26538048270 = 23254112756629
BaseRepresentation
bin11000101101110010…
…100111101100001110
32112111111000112101200
4120231302213230032
5413322220021040
620105202250330
71626431455056
oct305562475416
975444015350
1026538048270
11102890444a8
1251876569a6
13266c08ab56
1413da752566
15a54c35630
hex62dca7b0e

26538048270 has 96 divisors (see below), whose sum is σ = 71239633920. Its totient is φ = 6849722880.

The previous prime is 26538048269. The next prime is 26538048283. The reversal of 26538048270 is 7284083562.

26538048270 is a `hidden beast` number, since 2 + 6 + 538 + 0 + 48 + 2 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 440316 + ... + 496944.

It is an arithmetic number, because the mean of its divisors is an integer number (742079520).

Almost surely, 226538048270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26538048270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35619816960).

26538048270 is an abundant number, since it is smaller than the sum of its proper divisors (44701585650).

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

26538048270 is a wasteful number, since it uses less digits than its factorization.

26538048270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56810 (or 56807 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 26538048270 in words is "twenty-six billion, five hundred thirty-eight million, forty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 127 205 246 254 369 381 410 615 635 738 762 1143 1230 1270 1845 1905 2286 3690 3810 5207 5715 10414 11430 15621 26035 31242 46863 52070 56629 78105 93726 113258 156210 169887 234315 283145 339774 468630 509661 566290 849435 1019322 1698870 2321789 2548305 4643578 5096610 6965367 7191883 11608945 13930734 14383766 20896101 21575649 23217890 34826835 35959415 41792202 43151298 64726947 69653670 71918830 104480505 107878245 129453894 208961010 215756490 294867203 323634735 589734406 647269470 884601609 1474336015 1769203218 2653804827 2948672030 4423008045 5307609654 8846016090 13269024135 26538048270