Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
8381355033249 = 34112292432
BaseRepresentation
bin111100111110110111110…
…1100001000001010100001
31002200020202001011022210000
41321331233230020022201
52044310003342030444
625454201421530213
71523350535213502
oct171755754101241
932606661138700
108381355033249
112741570462100
12b34442a13969
1348a4874c0ba3
1420d9344c4ba9
15e8041a54469
hex79f6fb082a1

8381355033249 has 45 divisors (see below), whose sum is σ = 13762448641249. Its totient is φ = 5079435407640.

The previous prime is 8381355033239. The next prime is 8381355033251. The reversal of 8381355033249 is 9423305531838.

The square root of 8381355033249 is 2895057.

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

8381355033249 is a `hidden beast` number, since 8 + 3 + 8 + 13 + 550 + 3 + 32 + 49 = 666.

It is not a de Polignac number, because 8381355033249 - 235 = 8346995294881 is a prime.

It is a super-2 number, since 2×83813550332492 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8381355033195 and 8381355033204.

It is not an unprimeable number, because it can be changed into a prime (8381355033239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 286596022 + ... + 286625264.

Almost surely, 28381355033249 is an apocalyptic number.

8381355033249 is the 2895057-th square number.

8381355033249 is the 1447529-th centered octagonal number.

It is an amenable number.

8381355033249 is a deficient number, since it is larger than the sum of its proper divisors (5381093608000).

8381355033249 is an frugal number, since it uses more digits than its factorization.

8381355033249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58520 (or 29257 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 8381355033249 in words is "eight trillion, three hundred eighty-one billion, three hundred fifty-five million, thirty-three thousand, two hundred forty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 29243 87729 263187 321673 789561 965019 2368683 2895057 3538403 8685171 10615209 26055513 31845627 95536881 286610643 855153049 2565459147 7696377441 9406683539 23089132323 28220050617 69267396969 84660151851 103473518929 253980455553 310420556787 761941366659 931261670361 2793785011083 8381355033249