Search a number
-
+
9155120702049 = 327214929672
BaseRepresentation
bin1000010100111001011110…
…1101111010001001100001
31012102012222002202221212100
42011032113231322021201
52144444141344431144
631245445425321013
71633302265661100
oct205162755721141
935365862687770
109155120702049
112a0a734a65543
12103a3a7496169
1351542a2ac35a
14239178598037
1510d22bb06269
hex85397b7a261

9155120702049 has 81 divisors (see below), whose sum is σ = 15503061215187. Its totient is φ = 5191013102688.

The previous prime is 9155120702027. The next prime is 9155120702051. The reversal of 9155120702049 is 9402070215519.

The square root of 9155120702049 is 3025743.

It is a perfect power (a square), and thus also a powerful number.

9155120702049 is a `hidden beast` number, since 9 + 1 + 5 + 512 + 0 + 70 + 20 + 49 = 666.

9155120702049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1072585421649 + 8082535280400 = 1035657^2 + 2842980^2 .

It is not a de Polignac number, because 9155120702049 - 215 = 9155120669281 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9155120701995 and 9155120702013.

It is not an unprimeable number, because it can be changed into a prime (9155120700049) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9467549364 + ... + 9467550330.

Almost surely, 29155120702049 is an apocalyptic number.

9155120702049 is the 3025743-rd square number.

9155120702049 is the 1512872-nd centered octagonal number.

It is an amenable number.

9155120702049 is a deficient number, since it is larger than the sum of its proper divisors (6347940513138).

9155120702049 is an frugal number, since it uses more digits than its factorization.

9155120702049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

It can be divided in two parts, 91551 and 20702049, that added together give a square (20793600 = 45602).

The spelling of 9155120702049 in words is "nine trillion, one hundred fifty-five billion, one hundred twenty million, seven hundred two thousand, forty-nine".

Divisors: 1 3 7 9 21 49 63 147 149 441 447 967 1043 1341 2901 3129 6769 7301 8703 9387 20307 21903 22201 47383 60921 65709 66603 142149 144083 155407 199809 426447 432249 466221 935089 1008581 1087849 1296747 1398663 2805267 3025743 3263547 6545623 7060067 8415801 9077229 9790641 19636869 21180201 21468367 45819361 58910607 63540603 64405101 137458083 139328261 150278569 193215303 412374249 417984783 450835707 975297827 1051949983 1253954349 1352507121 2925893481 3155849949 6827084789 8777680443 9467549847 20481254367 20759910889 61443763101 62279732667 145319376223 186839198001 435958128669 1017235633561 1307874386007 3051706900683 9155120702049