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132684619081 = 7217230612
BaseRepresentation
bin111101110010010011…
…1101001110101001001
3110200111000112000200011
41323210213221311021
54133214230302311
6140542055511521
712405022440100
oct1734447516511
9420430460604
10132684619081
11512a9010193
122186b9885a1
13c687134431
1465c9c57037
1536b88ab321
hex1ee49e9d49

132684619081 has 27 divisors (see below), whose sum is σ = 164014329717. Its totient is φ = 107004723840.

The previous prime is 132684619079. The next prime is 132684619117. The reversal of 132684619081 is 180916486231.

It is a happy number.

The square root of 132684619081 is 364259.

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

It can be written as a sum of positive squares in 4 ways, for example, as 76665303225 + 56019315856 = 276885^2 + 236684^2 .

It is not a de Polignac number, because 132684619081 - 21 = 132684619079 is a prime.

It is a super-2 number, since 2×1326846190812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (132684619481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43345291 + ... + 43348351.

Almost surely, 2132684619081 is an apocalyptic number.

132684619081 is the 364259-th square number.

132684619081 is the 182130-th centered octagonal number.

It is an amenable number.

132684619081 is a deficient number, since it is larger than the sum of its proper divisors (31329710636).

132684619081 is an frugal number, since it uses more digits than its factorization.

132684619081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 132684619081 by its sum of digits (49), we get a square (6501546334969 = 25498132).

132684619081 divided by its sum of digits (49) gives a square (2707849369 = 520372).

The spelling of 132684619081 in words is "one hundred thirty-two billion, six hundred eighty-four million, six hundred nineteen thousand, eighty-one".

Divisors: 1 7 17 49 119 289 833 2023 3061 14161 21427 52037 149989 364259 884629 2549813 6192403 9369721 43346821 65588047 159285257 459116329 1114996799 2707849369 7804977593 18954945583 132684619081