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16442076061617 = 317243734336687
BaseRepresentation
bin1110111101000011100000…
…0110100101111110110001
32011012211212112212120100220
43233100320012211332301
54123341332432432432
654545215132203253
73314620654363203
oct357207006457661
964184775776326
1016442076061617
11526a055324708
121a16702009529
13923634034b1b
1440bb2d2a6773
151d7a6969572c
hexef4381a5fb1

16442076061617 has 24 divisors (see below), whose sum is σ = 23293530827136. Its totient is φ = 10314235208448.

The previous prime is 16442076061613. The next prime is 16442076061627. The reversal of 16442076061617 is 71616067024461.

It is not a de Polignac number, because 16442076061617 - 22 = 16442076061613 is a prime.

It is a super-3 number, since 3×164420760616173 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 16442076061617.

It is not an unprimeable number, because it can be changed into a prime (16442076061613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1623048 + ... + 5959734.

It is an arithmetic number, because the mean of its divisors is an integer number (970563784464).

Almost surely, 216442076061617 is an apocalyptic number.

16442076061617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16442076061617 is a deficient number, since it is larger than the sum of its proper divisors (6851454765519).

16442076061617 is a wasteful number, since it uses less digits than its factorization.

16442076061617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341097 (or 4341080 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 16442076061617 in words is "sixteen trillion, four hundred forty-two billion, seventy-six million, sixty-one thousand, six hundred seventeen".

Divisors: 1 3 17 51 289 867 4373 13119 74341 223023 1263797 3791391 4336687 13010061 73723679 221171037 1253302543 3759907629 18964332251 56892996753 322393648267 967180944801 5480692020539 16442076061617