Search a number
-
+
28545907208569 = 37219727332
BaseRepresentation
bin1100111110110010111001…
…01010001011000101111001
310202001221222100120110000121
412133121130222023011321
512220144004221133234
6140413450404133241
76004242122526652
oct637313452130571
9122057870513017
1028545907208569
119106284479a63
12325047a697221
1312c0b37b855aa
147098b4a64529
15347827d204b4
hex19f65ca8b179

28545907208569 has 27 divisors (see below), whose sum is σ = 29528235067527. Its totient is φ = 27595710362304.

The previous prime is 28545907208479. The next prime is 28545907208603. The reversal of 28545907208569 is 96580270954582.

The square root of 28545907208569 is 5342837.

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

It can be written as a sum of positive squares in 13 ways, for example, as 18887411781225 + 9658495427344 = 4345965^2 + 3107812^2 .

It is not a de Polignac number, because 28545907208569 - 217 = 28545907077497 is a prime.

It is a super-2 number, since 2×285459072085692 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 28545907208498 and 28545907208507.

It is not an unprimeable number, because it can be changed into a prime (28545907208669) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38943938527 + ... + 38943939259.

Almost surely, 228545907208569 is an apocalyptic number.

28545907208569 is the 5342837-th square number.

28545907208569 is the 2671419-th centered octagonal number.

It is an amenable number.

28545907208569 is a deficient number, since it is larger than the sum of its proper divisors (982327858958).

28545907208569 is an frugal number, since it uses more digits than its factorization.

28545907208569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 70.

The spelling of 28545907208569 in words is "twenty-eight trillion, five hundred forty-five billion, nine hundred seven million, two hundred eight thousand, five hundred sixty-nine".

Divisors: 1 37 197 733 1369 7289 27121 38809 144401 269693 537289 1003477 1435933 5342837 19879693 28446997 53129521 105845933 197684969 735548641 1052538889 3916299521 20851648801 38943938893 144903082277 771511005637 28545907208569