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134446852577268 = 2232711311564572599
BaseRepresentation
bin11110100100011101011000…
…111000111001011111110100
3122122000222211022122220000100
4132210131120320321133310
5120110234123224433033
61153540010441314100
740214315225022030
oct3644353070713764
9578028738586010
10134446852577268
1139925654291a30
12130b484aa95930
135a0338c66b64a
14252b395db11c0
15108241032c513
hex7a4758e397f4

134446852577268 has 144 divisors (see below), whose sum is σ = 437379399475200. Its totient is φ = 33794768116800.

The previous prime is 134446852577239. The next prime is 134446852577273. The reversal of 134446852577268 is 862775258644431.

134446852577268 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 4 + 6 + 8 + 525 + 77 + 26 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134446852577196 and 134446852577205.

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, 782200368 + ... + 782372231.

It is an arithmetic number, because the mean of its divisors is an integer number (3037356940800).

Almost surely, 2134446852577268 is an apocalyptic number.

134446852577268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134446852577268 is an abundant number, since it is smaller than the sum of its proper divisors (302932546897932).

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

134446852577268 is a wasteful number, since it uses less digits than its factorization.

134446852577268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564572658 (or 1564572653 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 72.

The spelling of 134446852577268 in words is "one hundred thirty-four trillion, four hundred forty-six billion, eight hundred fifty-two million, five hundred seventy-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 14322 21483 28644 42966 85932 1564572599 3129145198 4693717797 6258290396 9387435594 10952008193 14081153391 17210298589 18774871188 21904016386 28162306782 32856024579 34420597178 43808032772 48501750569 51630895767 56324613564 65712049158 68841194356 97003501138 98568073737 103261791534 120472090123 131424098316 145505251707 154892687301 194007002276 197136147474 206523583068 240944180246 291010503414 309785374602 339512253983 361416270369 394272294948 436515755121 481888360492 533519256259 582021006828 619570749204 679024507966 722832540738 873031510242 1018536761949 1067038512518 1084248811107 1358049015932 1445665081476 1600557768777 1746063020484 2037073523898 2134077025036 2168497622214 3055610285847 3201115537554 3734634793813 4074147047796 4336995244428 4801673306331 6111220571694 6402231075108 7469269587626 9603346612662 11203904381439 12222441143388 14938539175252 19206693225324 22407808762878 33611713144317 44815617525756 67223426288634 134446852577268