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134219952727068 = 2231347103177728633
BaseRepresentation
bin11110100001001010000100…
…100110101010010000011100
3122121020022011021120020011210
4132201022010212222100130
5120043024430344231233
61153243443422144420
740162033360066545
oct3641120446522034
9577208137506153
10134219952727068
11398483a923117a
1213078886722110
1359b7b6c335660
1425203cd4bb4cc
15107b580507163
hex7a12849aa41c

134219952727068 has 96 divisors (see below), whose sum is σ = 347790765643776. Its totient is φ = 40027331584512.

The previous prime is 134219952727061. The next prime is 134219952727121. The reversal of 134219952727068 is 860727259912431.

134219952727068 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 (134219952727061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88109121 + ... + 89619512.

It is an arithmetic number, because the mean of its divisors is an integer number (3622820475456).

It is a 1-persistent number, because it is pandigital, but 2⋅134219952727068 = 268439905454136 is not.

Almost surely, 2134219952727068 is an apocalyptic number.

It is an amenable number.

134219952727068 is an abundant number, since it is smaller than the sum of its proper divisors (213570812916708).

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

134219952727068 is a wasteful number, since it uses less digits than its factorization.

134219952727068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177728803 (or 177728801 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 134219952727068 in words is "one hundred thirty-four trillion, two hundred nineteen billion, nine hundred fifty-two million, seven hundred twenty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 103 141 156 188 206 282 309 412 564 611 618 1222 1236 1339 1833 2444 2678 3666 4017 4841 5356 7332 8034 9682 14523 16068 19364 29046 58092 62933 125866 188799 251732 377598 755196 177728633 355457266 533185899 710914532 1066371798 2132743596 2310472229 4620944458 6931416687 8353245751 9241888916 13862833374 16706491502 18306049199 25059737253 27725666748 33412983004 36612098398 50119474506 54918147597 73224196796 100238949012 108592194763 109836295194 217184389526 219672590388 237978639587 325776584289 434368779052 475957279174 651553168578 713935918761 860384312353 951914558348 1303106337156 1427871837522 1720768624706 2581152937059 2855743675044 3441537249412 5162305874118 10324611748236 11184996060589 22369992121178 33554988181767 44739984242356 67109976363534 134219952727068