Search a number
-
+
1797291478161 = 3146132
BaseRepresentation
bin11010001001110110111…
…010111000110010010001
320100211010100000000000000
4122021312322320302101
5213421323104300121
63453355253520213
7243564362332644
oct32116672706221
96324110000000
101797291478161
11633255203093
122503b1343069
1310063a06696a
1462dbcb9ba5b
1531b41d8d526
hex1a276eb8c91

1797291478161 has 45 divisors (see below), whose sum is σ = 2700342143499. Its totient is φ = 1196239678776.

The previous prime is 1797291478153. The next prime is 1797291478207. The reversal of 1797291478161 is 1618741927971.

The square root of 1797291478161 is 1340631.

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

1797291478161 is a `hidden beast` number, since 1 + 7 + 9 + 72 + 91 + 478 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5859137025 + 1791432341136 = 76545^2 + 1338444^2 .

It is not a de Polignac number, because 1797291478161 - 23 = 1797291478153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1797291479161) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2931959691 + ... + 2931960303.

Almost surely, 21797291478161 is an apocalyptic number.

1797291478161 is the 1340631-st square number.

1797291478161 is the 670316-th centered octagonal number.

It is an amenable number.

1797291478161 is a deficient number, since it is larger than the sum of its proper divisors (903050665338).

1797291478161 is an frugal number, since it uses more digits than its factorization.

1797291478161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 616 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 63.

The spelling of 1797291478161 in words is "one trillion, seven hundred ninety-seven billion, two hundred ninety-one million, four hundred seventy-eight thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 243 613 729 1839 2187 5517 6561 16551 19683 49653 59049 148959 177147 375769 446877 531441 1127307 1340631 1594323 3381921 4021893 4782969 10145763 12065679 30437289 36197037 91311867 108591111 273935601 325773333 821806803 977319999 2465420409 2931959997 7396261227 22188783681 66566351043 199699053129 599097159387 1797291478161