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12130544576682 = 23373654926281
BaseRepresentation
bin1011000010000101110011…
…0011001110100010101010
31120221200001111201201012000
42300201130303032202222
53042221323402423212
641444410101231430
72361255126423000
oct260413463164252
946850044651160
1012130544576682
113957598197504
12143ab92a02576
1369cba035622c
142dd19b524a70
151608239a51dc
hexb085ccce8aa

12130544576682 has 64 divisors (see below), whose sum is σ = 31436461536000. Its totient is φ = 3465869873760.

The previous prime is 12130544576663. The next prime is 12130544576693. The reversal of 12130544576682 is 28667544503121.

12130544576682 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 5 + 4 + 4 + 576 + 68 + 2 = 666.

It is a super-2 number, since 2×121305445766822 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327444619 + ... + 327481662.

It is an arithmetic number, because the mean of its divisors is an integer number (491194711500).

Almost surely, 212130544576682 is an apocalyptic number.

12130544576682 is an abundant number, since it is smaller than the sum of its proper divisors (19305916959318).

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

12130544576682 is an equidigital number, since it uses as much as digits as its factorization.

12130544576682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654926313 (or 654926293 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 12130544576682 in words is "twelve trillion, one hundred thirty billion, five hundred forty-four million, five hundred seventy-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1323 2058 2646 3087 6174 9261 18522 654926281 1309852562 1964778843 3929557686 4584483967 5894336529 9168967934 11788673058 13753451901 17683009587 27506903802 32091387769 35366019174 41260355703 64182775538 82520711406 96274163307 123781067109 192548326614 224639714383 247562134218 288822489921 449279428766 577644979842 673919143149 866467469763 1347838286298 1732934939526 2021757429447 4043514858894 6065272288341 12130544576682