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16655513324416 = 273712788731219
BaseRepresentation
bin1111001001011110100111…
…1101001000101110000000
32011222020210100201221010021
43302113221331020232000
54140340442402340131
655231234233343224
73336215101234411
oct362275175105600
964866710657107
1016655513324416
11534162207727a
121a4bb49867b14
1393a7ba1b2c75
144181b9c17808
151dd3ac640e11
hexf25e9f48b80

16655513324416 has 128 divisors (see below), whose sum is σ = 34385837875200. Its totient is φ = 8029561300992.

The previous prime is 16655513324293. The next prime is 16655513324431. The reversal of 16655513324416 is 61442331555661.

16655513324416 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 (128).

It is a super-2 number, since 2×166555133244162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533490055 + ... + 533521273.

It is an arithmetic number, because the mean of its divisors is an integer number (268639358400).

Almost surely, 216655513324416 is an apocalyptic number.

16655513324416 is a gapful number since it is divisible by the number (16) 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 16655513324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17192918937600).

16655513324416 is an abundant number, since it is smaller than the sum of its proper divisors (17730324550784).

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

16655513324416 is a wasteful number, since it uses less digits than its factorization.

16655513324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32284 (or 32272 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 52.

The spelling of 16655513324416 in words is "sixteen trillion, six hundred fifty-five billion, five hundred thirteen million, three hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 127 128 148 254 296 508 592 887 1016 1184 1774 2032 2368 3548 4064 4699 4736 7096 8128 9398 14192 16256 18796 28384 31219 32819 37592 56768 62438 65638 75184 112649 113536 124876 131276 150368 225298 249752 262552 300736 450596 499504 525104 601472 901192 999008 1050208 1155103 1802384 1998016 2100416 2310206 3604768 3964813 3996032 4168013 4200832 4620412 7209536 7929626 8336026 9240824 14419072 15859252 16672052 18481648 27691253 31718504 33344104 36963296 55382506 63437008 66688208 73926592 110765012 126874016 133376416 146698081 147853184 221530024 253748032 266752832 293396162 443060048 507496064 533505664 586792324 886120096 1024576361 1173584648 1772240192 2049152722 2347169296 3516789131 3544480384 4098305444 4694338592 7033578262 8196610888 9388677184 14067156524 16393221776 18777354368 28134313048 32786443552 56268626096 65572887104 112537252192 130121197847 131145774208 225074504384 260242395694 450149008768 520484791388 1040969582776 2081939165552 4163878331104 8327756662208 16655513324416