Search a number
-
+
8634912912 = 2432412695437
BaseRepresentation
bin10000000101010111…
…00101000010010000
3211021210010000200100
420002223211002100
5120141014203122
63544500052400
7423660356133
oct100253450220
924253100610
108634912912
11373120196a
12180b994100
13a77c43c32
145bcb3c21a
15358112aac
hex202ae5090

8634912912 has 120 divisors (see below), whose sum is σ = 24851768760. Its totient is φ = 2797148160.

The previous prime is 8634912827. The next prime is 8634912917. The reversal of 8634912912 is 2192194368.

8634912912 is a `hidden beast` number, since 8 + 634 + 9 + 1 + 2 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123743376 + 8511169536 = 11124^2 + 92256^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8634912917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1585458 + ... + 1590894.

It is an arithmetic number, because the mean of its divisors is an integer number (207098073).

Almost surely, 28634912912 is an apocalyptic number.

8634912912 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8634912912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425884380).

8634912912 is an abundant number, since it is smaller than the sum of its proper divisors (16216855848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8634912912 is a wasteful number, since it uses less digits than its factorization.

8634912912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5752 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 8634912912 is about 92924.2321033647. The cubic root of 8634912912 is about 2051.5683348124.

The spelling of 8634912912 in words is "eight billion, six hundred thirty-four million, nine hundred twelve thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 269 328 369 492 538 656 738 807 984 1076 1476 1614 1968 2152 2421 2952 3228 4304 4842 5437 5904 6456 9684 10874 11029 12912 16311 19368 21748 22058 32622 33087 38736 43496 44116 48933 65244 66174 86992 88232 97866 99261 130488 132348 176464 195732 198522 222917 260976 264696 391464 397044 445834 529392 668751 782928 794088 891668 1337502 1462553 1588176 1783336 2006253 2675004 2925106 3566672 4012506 4387659 5350008 5850212 8025012 8775318 10700016 11700424 13162977 16050024 17550636 23400848 26325954 32100048 35101272 52651908 59964673 70202544 105303816 119929346 179894019 210607632 239858692 359788038 479717384 539682057 719576076 959434768 1079364114 1439152152 2158728228 2878304304 4317456456 8634912912