Search a number
-
+
8681677056 = 283213289853
BaseRepresentation
bin10000001010111011…
…11110000100000000
3211102001002220000200
420011131332010000
5120240002131211
63553250245200
7425066015553
oct100535760400
924361086020
108681677056
113755642518
121823586800
13a84838520
145c503269a
1535c29db56
hex20577e100

8681677056 has 108 divisors (see below), whose sum is σ = 26957001708. Its totient is φ = 2671276032.

The previous prime is 8681677033. The next prime is 8681677063. The reversal of 8681677056 is 6507761868.

It can be written as a sum of positive squares in 2 ways, for example, as 1504198656 + 7177478400 = 38784^2 + 84720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8681676993 and 8681677011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114975 + ... + 174878.

Almost surely, 28681677056 is an apocalyptic number.

It is an amenable number.

8681677056 is an abundant number, since it is smaller than the sum of its proper divisors (18275324652).

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

8681677056 is a wasteful number, since it uses less digits than its factorization.

8681677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289888 (or 289871 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8681677056 is about 93175.5174710610. The cubic root of 8681677056 is about 2055.2652322514.

The spelling of 8681677056 in words is "eight billion, six hundred eighty-one million, six hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 289853 579706 869559 1159412 1739118 2318824 2608677 3478236 3768089 4637648 5217354 6956472 7536178 9275296 10434708 11304267 13912944 15072356 18550592 20869416 22608534 27825888 30144712 33912801 37101184 41738832 45217068 55651776 60289424 67825602 74202368 83477664 90434136 111303552 120578848 135651204 166955328 180868272 222607104 241157696 271302408 333910656 361736544 482315392 542604816 667821312 723473088 964630784 1085209632 1446946176 2170419264 2893892352 4340838528 8681677056