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132743471484316 = 227113137375750041
BaseRepresentation
bin11110001011101010111111…
…011101101100110110011100
3122102000011002202121202012111
4132023222333131230312130
5114344332112144444231
61150153301533043404
736650253653436430
oct3613527735546634
9572004082552174
10132743471484316
1139329210046250
1212a7a6a8026564
13590b86a5ccb74
1424acb655b89c0
151052e67c8d4b1
hex78babf76cd9c

132743471484316 has 96 divisors (see below), whose sum is σ = 307044898320384. Its totient is φ = 48697205184000.

The previous prime is 132743471484313. The next prime is 132743471484361. The reversal of 132743471484316 is 613484174347231.

132743471484316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132743471484313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187521745 + ... + 188228296.

It is an arithmetic number, because the mean of its divisors is an integer number (3198384357504).

Almost surely, 2132743471484316 is an apocalyptic number.

It is an amenable number.

132743471484316 is an abundant number, since it is smaller than the sum of its proper divisors (174301426836068).

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

132743471484316 is a wasteful number, since it uses less digits than its factorization.

132743471484316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375750131 (or 375750129 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 58.

The spelling of 132743471484316 in words is "one hundred thirty-two trillion, seven hundred forty-three billion, four hundred seventy-one million, four hundred eighty-four thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 31 37 44 62 74 77 124 148 154 217 259 308 341 407 434 518 682 814 868 1036 1147 1364 1628 2294 2387 2849 4588 4774 5698 8029 9548 11396 12617 16058 25234 32116 50468 88319 176638 353276 375750041 751500082 1503000164 2630250287 4133250451 5260500574 8266500902 10521001148 11648251271 13902751517 16533001804 23296502542 27805503034 28932753157 46593005084 55611006068 57865506314 81537758897 97319260619 115731012628 128130763981 152930266687 163075517794 194638521238 256261527962 305860533374 326151035588 389277042476 430985297027 512523055924 611721066748 861970594054 896915347867 1070511866809 1723941188108 1793830695734 2141023733618 3016897079189 3587661391468 4282047467236 4740838267297 6033794158378 9481676534594 12067588316756 18963353069188 33185867871079 66371735742158 132743471484316