Search a number
-
+
8132774013 = 32713103229421
BaseRepresentation
bin1111001001100000…
…00100100001111101
3202222210020201121100
413210300010201331
5113123442232023
63423001323313
7405352303260
oct74460044175
922883221540
108132774013
1134a3814541
1216ab796539
139c7bc0420
1457218acd7
15328ec5c43
hex1e4c0487d

8132774013 has 96 divisors (see below), whose sum is σ = 14697213440. Its totient is φ = 4219568640.

The previous prime is 8132774009. The next prime is 8132774047. The reversal of 8132774013 is 3104772318.

It is not a de Polignac number, because 8132774013 - 22 = 8132774009 is a prime.

It is a super-2 number, since 2×81327740132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132774093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19317543 + ... + 19317963.

Almost surely, 28132774013 is an apocalyptic number.

It is an amenable number.

8132774013 is a deficient number, since it is larger than the sum of its proper divisors (6564439427).

8132774013 is a wasteful number, since it uses less digits than its factorization.

8132774013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 8132774013 is about 90181.8940419861. The cubic root of 8132774013 is about 2011.0038477179.

The spelling of 8132774013 in words is "eight billion, one hundred thirty-two million, seven hundred seventy-four thousand, thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 103 117 229 273 309 421 687 721 819 927 1263 1339 1603 2061 2163 2947 2977 3789 4017 4809 5473 6489 8841 8931 9373 12051 14427 16419 20839 23587 26523 26793 28119 38311 43363 49257 62517 70761 84357 96409 114933 130089 165109 187551 212283 289227 303541 306631 344799 390267 495327 563719 674863 867681 910623 919893 1253317 1485981 1691157 2024589 2146417 2731869 2759679 3759951 3946033 5073471 6073767 6439251 8773219 9930127 11279853 11838099 19317753 26319657 29790381 35514297 69510889 78958971 89371143 129091651 208532667 387274953 625598001 903641557 1161824859 2710924671 8132774013