Search a number
-
+
81464595675813 = 3271927015109791
BaseRepresentation
bin10010100001011101110100…
…010010010111101010100101
3101200102221100202000010220100
4102201131310102113222211
541134203442443111223
6445132152452454313
723105423424011010
oct2241356422275245
9350387322003810
1081464595675813
1123a58a39532779
12917847431a399
13365c10335b26c
141618c9c146377
159641339d8043
hex4a1774497aa5

81464595675813 has 72 divisors (see below), whose sum is σ = 142134219542016. Its totient is φ = 44038214136000.

The previous prime is 81464595675811. The next prime is 81464595675829. The reversal of 81464595675813 is 31857659546418.

81464595675813 is a `hidden beast` number, since 8 + 1 + 4 + 6 + 4 + 5 + 9 + 567 + 58 + 1 + 3 = 666.

It is not a de Polignac number, because 81464595675813 - 21 = 81464595675811 is a prime.

It is a super-3 number, since 3×814645956758133 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81464595675811) 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 71 ways as a sum of consecutive naturals, for example, 13387948 + ... + 18497738.

It is an arithmetic number, because the mean of its divisors is an integer number (1974086382528).

Almost surely, 281464595675813 is an apocalyptic number.

It is an amenable number.

81464595675813 is a deficient number, since it is larger than the sum of its proper divisors (60669623866203).

81464595675813 is a wasteful number, since it uses less digits than its factorization.

81464595675813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110543 (or 5110521 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 72.

The spelling of 81464595675813 in words is "eighty-one trillion, four hundred sixty-four billion, five hundred ninety-five million, six hundred seventy-five thousand, eight hundred thirteen".

Divisors: 1 3 7 9 19 21 57 63 133 171 361 399 701 1083 1197 2103 2527 3249 4907 6309 7581 13319 14721 22743 39957 44163 93233 119871 253061 279699 759183 839097 1771427 2277549 5109791 5314281 15329373 15942843 35768537 45988119 97086029 107305611 291258087 321916833 679602203 873774261 1844634551 2038806609 3581963491 5533903653 6116419827 10745890473 12912441857 16601710959 25073744437 32237671419 38737325571 68057306329 75221233311 116211976713 204171918987 225663699933 476401144303 612515756961 1293088820251 1429203432909 3879266460753 4287610298727 9051621741757 11637799382259 27154865225271 81464595675813