Search a number
-
+
8119752381 = 3213172415857
BaseRepresentation
bin1111000111111100…
…11001011010111101
3202221212202011021200
413203332121122331
5113112124034011
63421414250113
7405133520316
oct74376313275
922855664250
108119752381
113497430164
1216a7356939
139c52b1410
1457055b60d
15327ca2856
hex1e3f996bd

8119752381 has 72 divisors (see below), whose sum is σ = 13747015464. Its totient is φ = 4587356160.

The previous prime is 8119752373. The next prime is 8119752499. The reversal of 8119752381 is 1832579118.

8119752381 is a `hidden beast` number, since 8 + 119 + 7 + 523 + 8 + 1 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 708092100 + 7411660281 = 26610^2 + 86091^2 .

It is not a de Polignac number, because 8119752381 - 23 = 8119752373 is a prime.

It is a super-2 number, since 2×81197523812 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8119752331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1383405 + ... + 1389261.

Almost surely, 28119752381 is an apocalyptic number.

It is an amenable number.

8119752381 is a deficient number, since it is larger than the sum of its proper divisors (5627263083).

8119752381 is a wasteful number, since it uses less digits than its factorization.

8119752381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5931 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 8119752381 is about 90109.6686321729. The cubic root of 8119752381 is about 2009.9299812247.

The spelling of 8119752381 in words is "eight billion, one hundred nineteen million, seven hundred fifty-two thousand, three hundred eighty-one".

Divisors: 1 3 9 13 17 39 41 51 117 123 153 221 289 369 533 663 697 867 1599 1989 2091 2601 3757 4797 5857 6273 9061 11271 11849 17571 27183 33813 35547 52713 76141 81549 99569 106641 154037 228423 240137 298707 462111 685269 720411 896121 1294397 1386333 1692673 2161233 3121781 3883191 4082329 5078019 9365343 11649573 12246987 15234057 22004749 28096029 36740961 53070277 66014247 69399593 159210831 198042741 208198779 477632493 624596337 902194709 2706584127 8119752381