Search a number
-
+
3546182363161 = 612308712
BaseRepresentation
bin110011100110101000111…
…100001010100000011001
3110120000022112202010002111
4303212220330022200121
5431100040141110121
611313032123032321
7514126463512564
oct63465074124031
913500275663074
103546182363161
111147a2254a159
1249333536b6a1
131c9532819689
14c38c98074db
156239e9ba2e1
hex339a8f0a819

3546182363161 has 9 divisors (see below), whose sum is σ = 3605386307679. Its totient is φ = 3487935238200.

The previous prime is 3546182363159. The next prime is 3546182363219. The reversal of 3546182363161 is 1613632816453.

The square root of 3546182363161 is 1883131.

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

It can be written as a sum of positive squares in only one way, i.e., 115315255561 + 3430867107600 = 339581^2 + 1852260^2 .

It is not a de Polignac number, because 3546182363161 - 21 = 3546182363159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3546182363261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114855556 + ... + 114886426.

It is an arithmetic number, because the mean of its divisors is an integer number (400598478631).

Almost surely, 23546182363161 is an apocalyptic number.

3546182363161 is the 1883131-st square number.

3546182363161 is the 941566-th centered octagonal number.

It is an amenable number.

3546182363161 is a deficient number, since it is larger than the sum of its proper divisors (59203944518).

3546182363161 is an frugal number, since it uses more digits than its factorization.

3546182363161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61864 (or 30932 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

Multiplying 3546182363161 by its sum of digits (49), we get a square (173762935794889 = 131819172).

The spelling of 3546182363161 in words is "three trillion, five hundred forty-six billion, one hundred eighty-two million, three hundred sixty-three thousand, one hundred sixty-one".

Divisors: 1 61 3721 30871 1883131 114870991 953018641 58134137101 3546182363161