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9132556528144 = 247237229172
BaseRepresentation
bin1000010011100101011011…
…0010011010101000010000
31012100001201120022011021201
42010321112302122220100
52144111433432400034
631231234421000544
71631543156445400
oct204712662325020
935301646264251
109132556528144
112a01106090735
121035b4a853154
135132725c656a
14238037918800
1510c85abd5014
hex84e56c9aa10

9132556528144 has 135 divisors (see below), whose sum is σ = 21161790697383. Its totient is φ = 3806864780544.

The previous prime is 9132556528133. The next prime is 9132556528187. The reversal of 9132556528144 is 4418256552319.

The square root of 9132556528144 is 3022012.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7954723849744 + 1177832678400 = 2820412^2 + 1085280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3130802974 + ... + 3130805890.

Almost surely, 29132556528144 is an apocalyptic number.

9132556528144 is the 3022012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9132556528144

9132556528144 is an abundant number, since it is smaller than the sum of its proper divisors (12029234169239).

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

9132556528144 is an frugal number, since it uses more digits than its factorization.

9132556528144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 2963 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 55.

The spelling of 9132556528144 in words is "nine trillion, one hundred thirty-two billion, five hundred fifty-six million, five hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1369 1813 2072 2738 2917 3626 4144 5476 5834 7252 9583 10952 11668 14504 19166 20419 21904 23336 29008 38332 40838 46672 67081 76664 81676 107929 134162 142933 153328 163352 215858 268324 285866 326704 431716 536648 571732 755503 863432 1073296 1143464 1511006 1726864 2286928 3022012 3993373 5288521 6044024 7986746 8508889 10577042 12088048 15973492 17017778 21154084 27953611 31946984 34035556 42308168 55907222 59562223 63893968 68071112 84616336 111814444 119124446 136142224 195675277 223628888 238248892 314828893 391350554 416935561 447257776 476497784 629657786 782701108 833871122 952995568 1259315572 1565402216 1667742244 2203802251 2518631144 3130804432 3335484488 4407604502 5037262288 6670968976 8815209004 11648669041 15426615757 17630418008 23297338082 30853231514 35260836016 46594676164 61706463028 81540683287 93189352328 123412926056 163081366574 186378704656 246825852112 326162733148 570784783009 652325466296 1141569566018 1304650932592 2283139132036 4566278264072 9132556528144