Search a number
-
+
1155880864161 = 323583732
BaseRepresentation
bin10000110100011111110…
…111100100100110100001
311002111112022202210101100
4100310133313210212201
5122414221000123121
62243000534225013
7146336543143602
oct20643767444641
94074468683340
101155880864161
1140622a683361
121680261b5169
1384ccb03027a
143dd32c73da9
1520101799026
hex10d1fde49a1

1155880864161 has 9 divisors (see below), whose sum is σ = 1669610351539. Its totient is φ = 770585092536.

The previous prime is 1155880864121. The next prime is 1155880864163. The reversal of 1155880864161 is 1614680885511.

The square root of 1155880864161 is 1075119.

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

1155880864161 is a `hidden beast` number, since 1 + 1 + 558 + 8 + 0 + 86 + 4 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1070759300625 + 85121563536 = 1034775^2 + 291756^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-1155880864161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1155880864098 and 1155880864107.

It is not an unprimeable number, because it can be changed into a prime (1155880864163) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3046171 + ... + 3404543.

Almost surely, 21155880864161 is an apocalyptic number.

1155880864161 is the 1075119-th square number.

1155880864161 is the 537560-th centered octagonal number.

It is an amenable number.

1155880864161 is a deficient number, since it is larger than the sum of its proper divisors (513729487378).

1155880864161 is an frugal number, since it uses more digits than its factorization.

1155880864161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716752 (or 358376 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 1155880864161 in words is "one trillion, one hundred fifty-five billion, eight hundred eighty million, eight hundred sixty-four thousand, one hundred sixty-one".

Divisors: 1 3 9 358373 1075119 3225357 128431207129 385293621387 1155880864161