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327142116522 = 2361318899137
BaseRepresentation
bin1001100001010110011…
…00001000110010101010
31011021102002121102000000
410300223030020302222
520324441340212042
6410141554523430
732430613052364
oct4605314106252
91137362542000
10327142116522
11116816218161
125349b296576
1324b070aaca0
1411b95bb9d34
15879a46774c
hex4c2b308caa

327142116522 has 112 divisors (see below), whose sum is σ = 792834262920. Its totient is φ = 100594814976.

The previous prime is 327142116517. The next prime is 327142116529. The reversal of 327142116522 is 225611241723.

327142116522 is a `hidden beast` number, since 3 + 2 + 7 + 14 + 2 + 116 + 522 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114398856441 + 212743260081 = 338229^2 + 461241^2 .

It is not an unprimeable number, because it can be changed into a prime (327142116529) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35799538 + ... + 35808674.

Almost surely, 2327142116522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327142116522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396417131460).

327142116522 is an abundant number, since it is smaller than the sum of its proper divisors (465692146398).

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

327142116522 is a wasteful number, since it uses less digits than its factorization.

327142116522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11059 (or 11044 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 327142116522 in words is "three hundred twenty-seven billion, one hundred forty-two million, one hundred sixteen thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 1889 2106 3159 3778 5667 6318 9137 9477 11334 17001 18274 18954 24557 27411 34002 49114 51003 54822 73671 82233 102006 118781 147342 153009 164466 221013 237562 246699 306018 356343 442026 459027 493398 663039 712686 740097 918054 1069029 1326078 1377081 1480194 1989117 2138058 2220291 2754162 3207087 3978234 4440582 5967351 6414174 6660873 9621261 11934702 13321746 17259793 17902053 19242522 28863783 34519586 35804106 51779379 57727566 86591349 103558758 155338137 173182698 224377309 310676274 448754618 466014411 673131927 932028822 1346263854 1398043233 2019395781 2796086466 4038791562 4194129699 6058187343 8388259398 12116374686 12582389097 18174562029 25164778194 36349124058 54523686087 109047372174 163571058261 327142116522