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191988832068 = 223311198505619
BaseRepresentation
bin1011001011001101101…
…1010001011101000100
3200100120000212012002000
42302303123101131010
511121143120111233
6224110510545300
716604443101165
oct2626333213504
9610500765060
10191988832068
1174470766160
1231260808230
1315148698a17
14941414b76c
154ed9ebed13
hex2cb36d1744

191988832068 has 96 divisors (see below), whose sum is σ = 571577664000. Its totient is φ = 55116404640.

The previous prime is 191988832043. The next prime is 191988832093. The reversal of 191988832068 is 860238889191.

It is a happy number.

191988832068 is a `hidden beast` number, since 1 + 91 + 98 + 88 + 320 + 68 = 666.

191988832068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (191988832043) and next prime (191988832093).

It is a junction number, because it is equal to n+sod(n) for n = 191988831996 and 191988832014.

It is an unprimeable number.

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, 4230238 + ... + 4275381.

It is an arithmetic number, because the mean of its divisors is an integer number (5953934000).

Almost surely, 2191988832068 is an apocalyptic number.

191988832068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

191988832068 is an abundant number, since it is smaller than the sum of its proper divisors (379588831932).

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

191988832068 is a wasteful number, since it uses less digits than its factorization.

191988832068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505662 (or 8505654 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 191988832068 in words is "one hundred ninety-one billion, nine hundred eighty-eight million, eight hundred thirty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 5643 7524 11286 22572 8505619 17011238 25516857 34022476 51033714 76550571 93561809 102067428 153101142 161606761 187123618 229651713 280685427 306202284 323213522 374247236 459303426 484820283 561370854 646427044 842056281 918606852 969640566 1122741708 1454460849 1684112562 1777674371 1939281132 2526168843 2908921698 3368225124 3555348742 4363382547 5052337686 5333023113 5817843396 7110697484 8726765094 10104675372 10666046226 15999069339 17453530188 21332092452 31998138678 47997208017 63996277356 95994416034 191988832068