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132149983453000 = 23531933121012877
BaseRepresentation
bin11110000011000010010000…
…110100100001111101001000
3122022220102012120011222101121
4132003002100310201331020
5114310121131230444000
61145020510404525024
736556343532423022
oct3603022064417510
9568812176158347
10132149983453000
113911a547575157
12129a36760b0774
1358978c7b24186
14248c144133012
1510427ce987b1a
hex783090d21f48

132149983453000 has 128 divisors (see below), whose sum is σ = 326489693212800. Its totient is φ = 49926593376000.

The previous prime is 132149983452983. The next prime is 132149983453069. The reversal of 132149983453000 is 354389941231.

It is a super-3 number, since 3×1321499834530003 (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 4217439 + ... + 16795438.

It is an arithmetic number, because the mean of its divisors is an integer number (2550700728225).

Almost surely, 2132149983453000 is an apocalyptic number.

132149983453000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132149983453000 is an abundant number, since it is smaller than the sum of its proper divisors (194339709759800).

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

132149983453000 is a wasteful number, since it uses less digits than its factorization.

132149983453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21013248 (or 21013234 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 132149983453000 in words is "one hundred thirty-two trillion, one hundred forty-nine billion, nine hundred eighty-three million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 331 380 475 500 662 760 950 1000 1324 1655 1900 2375 2648 3310 3800 4750 6289 6620 8275 9500 12578 13240 16550 19000 25156 31445 33100 41375 50312 62890 66200 82750 125780 157225 165500 251560 314450 331000 628900 786125 1257800 1572250 3144500 6289000 21012877 42025754 84051508 105064385 168103016 210128770 399244663 420257540 525321925 798489326 840515080 1050643850 1596978652 1996223315 2101287700 2626609625 3193957304 3992446630 4202575400 5253219250 6955262287 7984893260 9981116575 10506438500 13910524574 15969786520 19962233150 21012877000 27821049148 34776311435 39924466300 49905582875 55642098296 69552622870 79848932600 99811165750 132149983453 139105245740 173881557175 199622331500 264299966906 278210491480 347763114350 399244663000 528599933812 660749917265 695526228700 869407785875 1057199867624 1321499834530 1391052457400 1738815571750 2642999669060 3303749586325 3477631143500 5285999338120 6607499172650 6955262287000 13214998345300 16518747931625 26429996690600 33037495863250 66074991726500 132149983453000