Search a number
-
+
28626373531044 = 2232192469332
BaseRepresentation
bin1101000001001000110001…
…10100110101010110100100
310202100122200012011011012100
412200210120310311112210
512223003303110443134
6140514435140452100
76013121136142212
oct640443064652644
9122318605134170
1028626373531044
119137416630013
123263b966aa030
1312c85bc7b0663
1470d749709cb2
15349987203999
hex1a0918d355a4

28626373531044 has 81 divisors (see below), whose sum is σ = 76371663928833. Its totient is φ = 9039714817824.

The previous prime is 28626373531039. The next prime is 28626373531127. The reversal of 28626373531044 is 44013537362682.

The square root of 28626373531044 is 5350362.

It is a perfect power (a square), and thus also a powerful number.

28626373531044 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 63 + 7 + 3 + 531 + 0 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1016729388900 + 27609644142144 = 1008330^2 + 5254488^2 .

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 26 ways as a sum of consecutive naturals, for example, 609917802 + ... + 609964734.

Almost surely, 228626373531044 is an apocalyptic number.

28626373531044 is the 5350362-nd square number.

It is an amenable number.

28626373531044 is an abundant number, since it is smaller than the sum of its proper divisors (47745290397789).

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

28626373531044 is an frugal number, since it uses more digits than its factorization.

28626373531044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93914 (or 46957 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 28626373531044 in words is "twenty-eight trillion, six hundred twenty-six billion, three hundred seventy-three million, five hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 46933 93866 140799 187732 281598 422397 563196 844794 891727 1689588 1783454 2675181 3566908 5350362 8025543 10700724 16051086 16942813 32102172 33885626 50828439 67771252 101656878 152485317 203313756 304970634 609941268 2202706489 4405412978 6608119467 8810825956 13216238934 19824358401 26432477868 39648716802 41851423291 79297433604 83702846582 125554269873 167405693164 251108539746 376662809619 502217079492 753325619238 795177042529 1506651238476 1590354085058 2385531127587 3180708170116 4771062255174 7156593382761 9542124510348 14313186765522 28626373531044