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132649652521 = 1922926612
BaseRepresentation
bin111101110001010001…
…0010001000100101001
3110200101120201112120101
41323202202101010221
54133131302340041
6140534410225401
712404116304551
oct1734242210451
9420346645511
10132649652521
11512902a8301
1221860125261
13c67cb10969
1465c5354161
1536b57a0b31
hex1ee2891129

132649652521 has 27 divisors (see below), whose sum is σ = 145212356133. Its totient is φ = 121151147040.

The previous prime is 132649652459. The next prime is 132649652561. The reversal of 132649652521 is 125256946231.

The square root of 132649652521 is 364211.

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 14643662121 + 118005990400 = 121011^2 + 343520^2 .

It is a de Polignac number, because none of the positive numbers 2k-132649652521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132649652561) 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, 200679931 + ... + 200680591.

Almost surely, 2132649652521 is an apocalyptic number.

132649652521 is the 364211-st square number.

132649652521 is the 182106-th centered octagonal number.

It is an amenable number.

132649652521 is a deficient number, since it is larger than the sum of its proper divisors (12562703612).

132649652521 is an frugal number, since it uses more digits than its factorization.

132649652521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 709 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The spelling of 132649652521 in words is "one hundred thirty-two billion, six hundred forty-nine million, six hundred fifty-two thousand, five hundred twenty-one".

Divisors: 1 19 29 361 551 661 841 10469 12559 15979 19169 238621 303601 364211 436921 555901 6920009 8301499 10562119 12670709 157728481 200680261 240743471 367450561 4574125949 6981560659 132649652521