Search a number
-
+
26638831883524 = 2272173221312
BaseRepresentation
bin1100000111010010101100…
…00111001001010100000100
310111022122110222220011222111
412003221112013021110010
511442422311430233044
6132353413241310404
75416410041655400
oct603512607112404
9114278428804874
1026638831883524
118540513141903
122ba294aa95404
1311b30533434b3
1468147d6ac100
15312e0cd34b34
hex183a561c9504

26638831883524 has 81 divisors (see below), whose sum is σ = 54569932922421. Its totient is φ = 11345323641120.

The previous prime is 26638831883513. The next prime is 26638831883561. The reversal of 26638831883524 is 42538813883662.

The square root of 26638831883524 is 5161282.

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., 24232089212100 + 2406742671424 = 4922610^2 + 1551368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26638831883524.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12500623939 + ... + 12500626069.

Almost surely, 226638831883524 is an apocalyptic number.

26638831883524 is the 5161282-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26638831883524

26638831883524 is an abundant number, since it is smaller than the sum of its proper divisors (27931101038897).

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

26638831883524 is an frugal number, since it uses more digits than its factorization.

26638831883524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 2313 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 67.

The spelling of 26638831883524 in words is "twenty-six trillion, six hundred thirty-eight billion, eight hundred thirty-one million, eight hundred eighty-three thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2131 2422 4262 4844 8477 8524 14917 16954 29834 29929 33908 59668 59858 104419 119716 208838 209503 368663 417676 419006 737326 838012 1466521 1474652 2580641 2933042 4541161 5161282 5866084 9082322 10322564 18064487 18164644 31788127 36128974 63576254 63778699 72257948 127152508 127557398 222516889 255114796 445033778 446450893 785620853 890067556 892901786 1571241706 1785803572 3125156251 3142483412 5499345971 6250312502 10998691942 12500625004 21997383884 38495421797 76990843594 135912407569 153981687188 271824815138 543649630276 951386852983 1902773705966 3805547411932 6659707970881 13319415941762 26638831883524