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327387105694688 = 25131731248172139
BaseRepresentation
bin100101001110000011100000…
…0001000111001001111100000
31120221011220100022000212021112
41022130013000020321033200
5320402402243024212223
63120143320550242452
7125646636451056314
oct11234070010711740
91527156308025245
10327387105694688
1195352101222826
1230875993356428
131108a619139340
145abb898797b44
1527cb1537b7778
hex129c1c02393e0

327387105694688 has 144 divisors (see below), whose sum is σ = 759427428377520. Its totient is φ = 137625871380480.

The previous prime is 327387105694681. The next prime is 327387105694717. The reversal of 327387105694688 is 886496501783723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327387105694681) 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 23 ways as a sum of consecutive naturals, for example, 17289878 + ... + 30882261.

It is an arithmetic number, because the mean of its divisors is an integer number (5273801585955).

It is a 1-persistent number, because it is pandigital, but 2⋅327387105694688 = 654774211389376 is not.

Almost surely, 2327387105694688 is an apocalyptic number.

It is an amenable number.

327387105694688 is an abundant number, since it is smaller than the sum of its proper divisors (432040322682832).

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

327387105694688 is a wasteful number, since it uses less digits than its factorization.

327387105694688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48172241 (or 48172202 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 77.

The spelling of 327387105694688 in words is "three hundred twenty-seven trillion, three hundred eighty-seven billion, one hundred five million, six hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 52 62 68 104 124 136 208 221 248 272 403 416 442 496 527 544 806 884 961 992 1054 1612 1768 1922 2108 3224 3536 3844 4216 6448 6851 7072 7688 8432 12493 12896 13702 15376 16337 16864 24986 27404 30752 32674 49972 54808 65348 99944 109616 130696 199888 212381 219232 261392 399776 424762 522784 849524 1699048 3398096 6796192 48172139 96344278 192688556 385377112 626237807 770754224 818926363 1252475614 1493336309 1541508448 1637852726 2504951228 2986672618 3275705452 5009902456 5973345236 6551410904 10019804912 10646042719 11946690472 13102821808 19413372017 20039609824 21292085438 23893380944 25386717253 26205643616 38826744034 42584170876 46293425579 47786761888 50773434506 77653488068 85168341752 92586851158 101546869012 155306976136 170336683504 185173702316 203093738024 310613952272 330027324289 340673367008 370347404632 406187476048 601814532527 621227904544 660054648578 740694809264 786988234843 812374952096 1203629065054 1320109297156 1481389618528 1573976469686 2407258130108 2640218594312 3147952939372 4814516260216 5280437188624 6295905878744 9629032520432 10230847052959 10560874377248 12591811757488 19258065040864 20461694105918 25183623514976 40923388211836 81846776423672 163693552847344 327387105694688