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16538703312 = 2439711093203
BaseRepresentation
bin11110110011100100…
…01001010111010000
31120200121111011211010
433121302021113100
5232332402001222
611333041450520
71123562441625
oct173162112720
946617434733
1016538703312
11701773764a
123256940a40
13173756c8a1
14b2c72034c
1566be5680c
hex3d9c895d0

16538703312 has 80 divisors (see below), whose sum is σ = 43217858880. Its totient is φ = 5449445376.

The previous prime is 16538703299. The next prime is 16538703323. The reversal of 16538703312 is 21330783561.

16538703312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5161903 + ... + 5165105.

It is an arithmetic number, because the mean of its divisors is an integer number (540223236).

Almost surely, 216538703312 is an apocalyptic number.

16538703312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16538703312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21608929440).

16538703312 is an abundant number, since it is smaller than the sum of its proper divisors (26679155568).

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

16538703312 is a wasteful number, since it uses less digits than its factorization.

16538703312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 16538703312 in words is "sixteen billion, five hundred thirty-eight million, seven hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1109 1164 1552 2218 2328 3203 3327 4436 4656 6406 6654 8872 9609 12812 13308 17744 19218 25624 26616 38436 51248 53232 76872 107573 153744 215146 310691 322719 430292 621382 645438 860584 932073 1242764 1290876 1721168 1864146 2485528 2581752 3552127 3728292 4971056 5163504 7104254 7456584 10656381 14208508 14913168 21312762 28417016 42625524 56834032 85251048 170502096 344556319 689112638 1033668957 1378225276 2067337914 2756450552 4134675828 5512901104 8269351656 16538703312