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132276962601 = 34722322512
BaseRepresentation
bin111101100110001010…
…0100100010100101001
3110122102121102221010000
41323030110210110221
54131400400300401
6140433414213213
712361642426200
oct1731424442451
9418377387100
10132276962601
1151109995903
1221777354209
13c620841b94
14658ba5c237
153692bd4186
hex1ecc524529

132276962601 has 135 divisors (see below), whose sum is σ = 241249535373. Its totient is φ = 72012402000.

The previous prime is 132276962599. The next prime is 132276962627. The reversal of 132276962601 is 106269672231.

The square root of 132276962601 is 363699.

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

132276962601 is a `hidden beast` number, since 1 + 32 + 2 + 7 + 6 + 9 + 6 + 2 + 601 = 666.

It is not a de Polignac number, because 132276962601 - 21 = 132276962599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132276962641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 526999726 + ... + 526999976.

Almost surely, 2132276962601 is an apocalyptic number.

132276962601 is the 363699-th square number.

132276962601 is the 181850-th centered octagonal number.

It is an amenable number.

132276962601 is a deficient number, since it is larger than the sum of its proper divisors (108972572772).

132276962601 is an frugal number, since it uses more digits than its factorization.

132276962601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 132276962601 in words is "one hundred thirty-two billion, two hundred seventy-six million, nine hundred sixty-two thousand, six hundred one".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 251 441 483 529 567 621 753 1127 1323 1449 1587 1757 1863 2259 3381 3703 3969 4347 4761 5271 5773 6777 10143 11109 12299 13041 14283 15813 17319 20331 25921 30429 33327 36897 40411 42849 47439 51957 63001 77763 91287 99981 110691 121233 132779 142317 155871 189003 233289 282877 299943 332073 363699 398337 441007 467613 567009 699867 848631 929453 996219 1091097 1195011 1323021 1449023 1701027 2099601 2545893 2788359 3087049 3273291 3585033 3969063 4347069 5103081 6506171 7637679 8365077 9261147 10143161 10755099 11907189 13041207 19518513 22913037 25095231 27783441 30429483 33327529 35721567 39123621 58555539 71002127 75285693 83350323 91288449 99982587 117370863 175666617 213006381 233292703 250050969 273865347 299947761 526999851 639019143 699878109 821596041 899843283 1633048921 1917057429 2099634327 2699529849 4899146763 5751172287 6298902981 14697440289 18896708943 44092320867 132276962601