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132544145053504 = 2617216175635549
BaseRepresentation
bin11110001000110001010110…
…101011101101011101000000
3122101022002121100202220221001
4132020301112223231131000
5114333100402113203004
61145521534543541344
736626666321642122
oct3610612653553500
9571262540686831
10132544145053504
11392617245115a8
1212a47b39bba854
1358c5b229c7852
1424a3256b51212
15104cb9da1a1a4
hex788c56aed740

132544145053504 has 56 divisors (see below), whose sum is σ = 278501825291400. Its totient is φ = 62370818850816.

The previous prime is 132544145053447. The next prime is 132544145053553. The reversal of 132544145053504 is 405350541445231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23438766649600 + 109105378403904 = 4841360^2 + 10445352^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20701522 + ... + 26337070.

Almost surely, 2132544145053504 is an apocalyptic number.

It is an amenable number.

132544145053504 is an abundant number, since it is smaller than the sum of its proper divisors (145957680237896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132544145053504 is a wasteful number, since it uses less digits than its factorization.

132544145053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657195 (or 5657185 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 46.

Adding to 132544145053504 its reverse (405350541445231), we get a palindrome (537894686498735).

The spelling of 132544145053504 in words is "one hundred thirty-two trillion, five hundred forty-four billion, one hundred forty-five million, fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 21617 43234 86468 172936 345872 367489 691744 734978 1383488 1469956 2939912 5635549 5879824 11271098 11759648 22542196 23519296 45084392 90168784 95804333 180337568 191608666 360675136 383217332 766434664 1532869328 3065738656 6131477312 121823662733 243647325466 487294650932 974589301864 1949178603728 2071002266461 3898357207456 4142004532922 7796714414912 8284009065844 16568018131688 33136036263376 66272072526752 132544145053504