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136075112406 = 233127211271347
BaseRepresentation
bin111111010111010110…
…1010110111111010110
3111000020022022221011000
41332232231112333112
54212140212044111
6142302333524130
712555032241222
oct1765655267726
9430208287130
10136075112406
1152788942a92
1222457343646
13caa76ac0bc
14682c26b782
153816386c56
hex1faeb56fd6

136075112406 has 128 divisors (see below), whose sum is σ = 308230225920. Its totient is φ = 44494077600.

The previous prime is 136075112387. The next prime is 136075112431. The reversal of 136075112406 is 604211570631.

136075112406 is a `hidden beast` number, since 1 + 3 + 607 + 5 + 1 + 1 + 2 + 40 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392147125 + ... + 392147471.

It is an arithmetic number, because the mean of its divisors is an integer number (2408048640).

Almost surely, 2136075112406 is an apocalyptic number.

136075112406 is an abundant number, since it is smaller than the sum of its proper divisors (172155113514).

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

136075112406 is a wasteful number, since it uses less digits than its factorization.

136075112406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 136075112406 in words is "one hundred thirty-six billion, seventy-five million, one hundred twelve thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 127 211 254 271 347 381 422 542 633 694 762 813 1041 1143 1266 1626 1899 2082 2286 2439 3123 3429 3798 4878 5697 6246 6858 7317 9369 11394 14634 18738 26797 34417 44069 53594 57181 68834 73217 80391 88138 94037 103251 114362 132207 146434 160782 171543 188074 206502 219651 241173 264414 282111 309753 343086 396621 439302 482346 514629 564222 619506 658953 723519 793242 846333 929259 1029258 1189863 1317906 1447038 1543887 1692666 1858518 1976859 2379726 2538999 3087774 3953718 5077998 7261987 9298559 11942699 14523974 18597118 19841807 21785961 23885398 27895677 35828097 39683614 43571922 55791354 59525421 65357883 71656194 83687031 107484291 119050842 130715766 167374062 178576263 196073649 214968582 251061093 322452873 357152526 392147298 502122186 535728789 644905746 1071457578 2519909489 5039818978 7559728467 15119456934 22679185401 45358370802 68037556203 136075112406