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16442741575716 = 223127151308923131
BaseRepresentation
bin1110111101000101111111…
…0001010101000000100100
32011012220120221011012002020
43233101133301111000210
54123344213320410331
654545405144343140
73314643315223431
oct357213761250044
964186527135066
1016442741575716
11526a366a5a265
121a16868a74ab0
1392370bb8b451
1440bb93824b88
151d7aa7d04c96
hexef45fc55024

16442741575716 has 96 divisors (see below), whose sum is σ = 38938861731840. Its totient is φ = 5399763264000.

The previous prime is 16442741575691. The next prime is 16442741575759. The reversal of 16442741575716 is 61757514724461.

16442741575716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164427415757163 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16442741575716.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710841471 + ... + 710864601.

It is an arithmetic number, because the mean of its divisors is an integer number (405613143040).

Almost surely, 216442741575716 is an apocalyptic number.

It is an amenable number.

16442741575716 is an abundant number, since it is smaller than the sum of its proper divisors (22496120156124).

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

16442741575716 is a wasteful number, since it uses less digits than its factorization.

16442741575716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26505 (or 26503 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 60.

The spelling of 16442741575716 in words is "sixteen trillion, four hundred forty-two billion, seven hundred forty-one million, five hundred seventy-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 127 151 254 302 381 453 508 604 762 906 1524 1812 3089 6178 9267 12356 18534 19177 23131 37068 38354 46262 57531 69393 76708 92524 115062 138786 230124 277572 392303 466439 784606 932878 1176909 1399317 1569212 1865756 2353818 2798634 2937637 3492781 4707636 5597268 5875274 6985562 8812911 10478343 11750548 13971124 17625822 20956686 35251644 41913372 59237753 71451659 118475506 142903318 177713259 214354977 236951012 285806636 355426518 428709954 443583187 710853036 857419908 887166374 1330749561 1774332748 2661499122 5322998244 9074360693 10789200509 18148721386 21578401018 27223082079 32367601527 36297442772 43156802036 54446164158 64735203054 108892328316 129470406108 1370228464643 2740456929286 4110685393929 5480913858572 8221370787858 16442741575716