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138412950774390 = 232537330361907
BaseRepresentation
bin11111011110001011000110…
…110000110110001001110110
3200011002011000112010120020200
4133132023012300312021312
5121120224210344240030
61210214010510141330
741104001644325535
oct3736130660661166
9604064015116220
10138412950774390
114011466a326296
12136354351b1846
135c30392912596
1426273189d431c
151100689d83d60
hex7de2c6c36276

138412950774390 has 96 divisors (see below), whose sum is σ = 369869977732320. Its totient is φ = 35912548207296.

The previous prime is 138412950774359. The next prime is 138412950774407. The reversal of 138412950774390 is 93477059214831.

138412950774390 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 1 + 29 + 507 + 74 + 39 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10622184 + ... + 19739723.

It is an arithmetic number, because the mean of its divisors is an integer number (3852812268045).

Almost surely, 2138412950774390 is an apocalyptic number.

138412950774390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138412950774390 is an abundant number, since it is smaller than the sum of its proper divisors (231457026957930).

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

138412950774390 is an equidigital number, since it uses as much as digits as its factorization.

138412950774390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30362031 (or 30361954 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 138412950774390 in words is "one hundred thirty-eight trillion, four hundred twelve billion, nine hundred fifty million, seven hundred seventy-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1369 1665 2738 3330 4107 6845 8214 12321 13690 20535 24642 41070 50653 61605 101306 123210 151959 253265 303918 455877 506530 759795 911754 1519590 2279385 4558770 30361907 60723814 91085721 151809535 182171442 273257163 303619070 455428605 546514326 910857210 1123390559 1366285815 2246781118 2732571630 3370171677 5616952795 6740343354 10110515031 11233905590 16850858385 20221030062 33701716770 41565450683 50552575155 83130901366 101105150310 124696352049 207827253415 249392704098 374089056147 415654506830 623481760245 748178112294 1246963520490 1537921675271 1870445280735 3075843350542 3740890561470 4613765025813 7689608376355 9227530051626 13841295077439 15379216752710 23068825129065 27682590154878 46137650258130 69206475387195 138412950774390