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132033033023232 = 2831123679517833
BaseRepresentation
bin11110000001010101010110…
…000010000010111100000000
3122022111020100002022120210210
4132001111112002002330000
5114301212122423220412
61144451045451154120
736545033433240645
oct3601252602027400
9568436302276723
10132033033023232
1139084993058310
1212984a77745940
13588987a688c43
14248660bc17dcc
15103e7375b883c
hex781556082f00

132033033023232 has 144 divisors (see below), whose sum is σ = 400013122376448. Its totient is φ = 38270444298240.

The previous prime is 132033033023183. The next prime is 132033033023257. The reversal of 132033033023232 is 232320330330231.

It is a self number, because there is not a number n which added to its sum of digits gives 132033033023232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339564613 + ... + 339953220.

It is an arithmetic number, because the mean of its divisors is an integer number (2777868905392).

Almost surely, 2132033033023232 is an apocalyptic number.

132033033023232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132033033023232 is an abundant number, since it is smaller than the sum of its proper divisors (267980089353216).

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

132033033023232 is a wasteful number, since it uses less digits than its factorization.

132033033023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679517886 (or 679517872 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 132033033023232 its reverse (232320330330231), we get a palindrome (364353363353463).

The spelling of 132033033023232 in words is "one hundred thirty-two trillion, thirty-three billion, thirty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 528 552 704 736 759 768 1012 1056 1104 1408 1472 1518 2024 2112 2208 2816 2944 3036 4048 4224 4416 5888 6072 8096 8448 8832 12144 16192 17664 24288 32384 48576 64768 97152 194304 679517833 1359035666 2038553499 2718071332 4077106998 5436142664 7474696163 8154213996 10872285328 14949392326 15628910159 16308427992 21744570656 22424088489 29898784652 31257820318 32616855984 43489141312 44848176978 46886730477 59797569304 62515640636 65233711968 86978282624 89696353956 93773460954 119595138608 125031281272 130467423936 171918011749 173956565248 179392707912 187546921908 239190277216 250062562544 260934847872 343836023498 358785415824 375093843816 478380554432 500125125088 515754035247 521869695744 687672046996 717570831648 750187687632 956761108864 1000250250176 1031508070494 1375344093992 1435141663296 1500375375264 1913522217728 2000500500352 2063016140988 2750688187984 2870283326592 3000750750528 4001001000704 4126032281976 5501376375968 5740566653184 6001501501056 8252064563952 11002752751936 12003003002112 16504129127904 22005505503872 33008258255808 44011011007744 66016516511616 132033033023232