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16064728992 = 2532132330061
BaseRepresentation
bin11101111011000100…
…00100111110100000
31112110120121210021200
432331202010332200
5230400032311432
611214030521200
71106045641404
oct167542047640
945416553250
1016064728992
1168a4136734
123144066200
1316902ca800
14ac57c1104
1564052ea7c
hex3bd884fa0

16064728992 has 108 divisors (see below), whose sum is σ = 49468702374. Its totient is φ = 4942978560.

The previous prime is 16064728987. The next prime is 16064729027. The reversal of 16064728992 is 29982746061.

16064728992 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 472 + 89 + 92 = 666.

16064728992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3104272656 + 12960456336 = 55716^2 + 113844^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116359 + ... + 213702.

Almost surely, 216064728992 is an apocalyptic number.

16064728992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16064728992 is an abundant number, since it is smaller than the sum of its proper divisors (33403973382).

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

16064728992 is a wasteful number, since it uses less digits than its factorization.

16064728992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330103 (or 330079 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16064728992 in words is "sixteen billion, sixty-four million, seven hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 330061 660122 990183 1320244 1980366 2640488 2970549 3960732 4290793 5280976 5941098 7921464 8581586 10561952 11882196 12872379 15842928 17163172 23764392 25744758 31685856 34326344 38617137 47528784 51489516 55780309 68652688 77234274 95057568 102979032 111560618 137305376 154468548 167340927 205958064 223121236 308937096 334681854 411916128 446242472 502022781 617874192 669363708 892484944 1004045562 1235748384 1338727416 1784969888 2008091124 2677454832 4016182248 5354909664 8032364496 16064728992