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132253655323300 = 225272310379752551
BaseRepresentation
bin11110000100100010110100…
…001001010101001010100100
3122100021022210122002122202121
4132010202310021111022210
5114313320441230321200
61145140253540515324
736600003603656530
oct3604426411251244
9570238718078677
10132253655323300
113915a507647805
12129bb7896abb44
1358a460a288924
14249317aad0bc0
15104534b22de1a
hex7848b42552a4

132253655323300 has 144 divisors (see below), whose sum is σ = 345572273958912. Its totient is φ = 42951533328000.

The previous prime is 132253655323267. The next prime is 132253655323319. The reversal of 132253655323300 is 3323556352231.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 38217976 + ... + 41534575.

It is an arithmetic number, because the mean of its divisors is an integer number (2399807458048).

Almost surely, 2132253655323300 is an apocalyptic number.

132253655323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132253655323300 is an abundant number, since it is smaller than the sum of its proper divisors (213318618635612).

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

132253655323300 is a wasteful number, since it uses less digits than its factorization.

132253655323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79752698 (or 79752691 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 43.

The spelling of 132253655323300 in words is "one hundred thirty-two trillion, two hundred fifty-three billion, six hundred fifty-five million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 103 115 140 161 175 206 230 322 350 412 460 515 575 644 700 721 805 1030 1150 1442 1610 2060 2300 2369 2575 2884 3220 3605 4025 4738 5150 7210 8050 9476 10300 11845 14420 16100 16583 18025 23690 33166 36050 47380 59225 66332 72100 82915 118450 165830 236900 331660 414575 829150 1658300 79752551 159505102 319010204 398762755 558267857 797525510 1116535714 1595051020 1834308673 1993813775 2233071428 2791339285 3668617346 3987627550 5582678570 7337234692 7975255100 8214512753 9171543365 11165357140 12840160711 13956696425 16429025506 18343086730 25680321422 27913392850 32858051012 36686173460 41072563765 45857716825 51360642844 55826785700 57501589271 64200803555 82145127530 91715433650 115003178542 128401607110 164290255060 183430867300 188933793319 205362818825 230006357084 256803214220 287507946355 321004017775 377867586638 410725637650 575015892710 642008035550 755735173276 821451275300 944668966595 1150031785420 1284016071100 1322536553233 1437539731775 1889337933190 2645073106466 2875079463550 3778675866380 4723344832975 5290146212932 5750158927100 6612682766165 9446689665950 13225365532330 18893379331900 26450731064660 33063413830825 66126827661650 132253655323300