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16501663104 = 27345794033
BaseRepresentation
bin11110101111001001…
…10110010110000000
31120121000210100012120
433113210312112000
5232243411204404
611325235524240
71122632551653
oct172744662600
946530710176
1016501663104
116aa8838803
123246459680
13172c9a12c4
14b2783b89a
15668a8b9d9
hex3d7936580

16501663104 has 64 divisors (see below), whose sum is σ = 43928923440. Its totient is φ = 5488459776.

The previous prime is 16501663091. The next prime is 16501663109. The reversal of 16501663104 is 40136610561.

16501663104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16501663109) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128472 + ... + 222504.

Almost surely, 216501663104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16501663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21964461720).

16501663104 is an abundant number, since it is smaller than the sum of its proper divisors (27427260336).

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

16501663104 is an equidigital number, since it uses as much as digits as its factorization.

16501663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94507 (or 94495 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 16501663104 in words is "sixteen billion, five hundred one million, six hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 457 914 1371 1828 2742 3656 5484 7312 10968 14624 21936 29248 43872 58496 87744 94033 175488 188066 282099 376132 564198 752264 1128396 1504528 2256792 3009056 4513584 6018112 9027168 12036224 18054336 36108672 42973081 85946162 128919243 171892324 257838486 343784648 515676972 687569296 1031353944 1375138592 2062707888 2750277184 4125415776 5500554368 8250831552 16501663104