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135722174231028 = 223711701209537047
BaseRepresentation
bin11110110111000001000111…
…111110111011000111110100
3122210112220122200100110102210
4132313001013332323013310
5120242133003100343103
61200353523414333420
740405414000146210
oct3667010776730764
9583486580313383
10135722174231028
113a2774a60a1350
121327ba4965a270
135a96713a6c438
142572db9bc1940
1510a56a2919e03
hex7b7047fbb1f4

135722174231028 has 96 divisors (see below), whose sum is σ = 395391380686848. Its totient is φ = 35202223728000.

The previous prime is 135722174231009. The next prime is 135722174231089. The reversal of 135722174231028 is 820132471227531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104120800 + ... + 105416247.

It is an arithmetic number, because the mean of its divisors is an integer number (4118660215488).

Almost surely, 2135722174231028 is an apocalyptic number.

It is an amenable number.

135722174231028 is an abundant number, since it is smaller than the sum of its proper divisors (259669206455820).

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

135722174231028 is a wasteful number, since it uses less digits than its factorization.

135722174231028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209537773 (or 209537771 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 135722174231028 in words is "one hundred thirty-five trillion, seven hundred twenty-two billion, one hundred seventy-four million, two hundred thirty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 701 924 1402 2103 2804 4206 4907 7711 8412 9814 14721 15422 19628 23133 29442 30844 46266 53977 58884 92532 107954 161931 215908 323862 647724 209537047 419074094 628611141 838148188 1257222282 1466759329 2304907517 2514444564 2933518658 4400277987 4609815034 5867037316 6914722551 8800555974 9219630068 13829445102 16134352619 17601111948 27658890204 32268705238 48403057857 64537410476 96806115714 146885469947 193612231428 293770939894 440656409841 587541879788 881312819682 1028198289629 1615740169417 1762625639364 2056396579258 3084594868887 3231480338834 4112793158516 4847220508251 6169189737774 6462960677668 9694441016502 11310181185919 12338379475548 19388882033004 22620362371838 33930543557757 45240724743676 67861087115514 135722174231028