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132715908369 = 321126110918329
BaseRepresentation
bin111101110011001111…
…1000000110100010001
3110200120012101200111200
41323212133000310101
54133300233031434
6140545134301413
712405552415362
oct1734637006421
9420505350450
10132715908369
1151314741300
122187a357869
13c69076b1c5
1465d007db69
1536bb4dc199
hex1ee67c0d11

132715908369 has 72 divisors (see below), whose sum is σ = 216143327400. Its totient is φ = 78385190400.

The previous prime is 132715908343. The next prime is 132715908421. The reversal of 132715908369 is 963809517231.

132715908369 is a `hidden beast` number, since 1 + 3 + 271 + 5 + 9 + 0 + 8 + 369 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4752309969 + 127963598400 = 68937^2 + 357720^2 .

It is not a de Polignac number, because 132715908369 - 211 = 132715906321 is a prime.

It is a super-2 number, since 2×1327159083692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132715909369) 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 71 ways as a sum of consecutive naturals, for example, 7231597 + ... + 7249925.

Almost surely, 2132715908369 is an apocalyptic number.

It is an amenable number.

132715908369 is a deficient number, since it is larger than the sum of its proper divisors (83427419031).

132715908369 is a wasteful number, since it uses less digits than its factorization.

132715908369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18527 (or 18513 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 132715908369 in words is "one hundred thirty-two billion, seven hundred fifteen million, nine hundred eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 33 61 99 109 121 183 327 363 549 671 981 1089 1199 2013 3597 6039 6649 7381 10791 13189 18329 19947 22143 39567 54987 59841 66429 73139 118701 164961 201619 219417 604857 658251 804529 1118069 1814571 1997861 2217809 2413587 3354207 5993583 6653427 7240761 10062621 12298759 17980749 19960281 21976471 36896277 65929413 110688831 121869521 135286349 197788239 241741181 365608563 405859047 725223543 1096825689 1217577141 1340564731 2175670629 4021694193 12065082579 14746212041 44238636123 132715908369