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16442134203573 = 32131131243637713
BaseRepresentation
bin1110111101000011101110…
…0100011000110010110101
32011012212000121021111010200
43233100323210120302311
54123341442324003243
654545225010311113
73314622261521241
oct357207344306265
964185017244120
1016442134203573
11526a085126611
121a16719588499
139236430b1150
1440bb36cbd421
151d7a6e82cad3
hexef43b918cb5

16442134203573 has 24 divisors (see below), whose sum is σ = 25802995290072. Its totient is φ = 10028694509568.

The previous prime is 16442134203533. The next prime is 16442134203617. The reversal of 16442134203573 is 37530243124461.

16442134203573 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 21 + 34 + 20 + 3 + 573 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6910098129 + 16435224105444 = 83127^2 + 4054038^2 .

It is not a de Polignac number, because 16442134203573 - 229 = 16441597332661 is a prime.

It is a super-3 number, since 3×164421342035733 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442134203533) 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, 621805636 + ... + 621832077.

It is an arithmetic number, because the mean of its divisors is an integer number (1075124803753).

Almost surely, 216442134203573 is an apocalyptic number.

16442134203573 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16442134203573 is a deficient number, since it is larger than the sum of its proper divisors (9360861086499).

16442134203573 is a wasteful number, since it uses less digits than its factorization.

16442134203573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243637845 (or 1243637842 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 16442134203573 in words is "sixteen trillion, four hundred forty-two billion, one hundred thirty-four million, two hundred three thousand, five hundred seventy-three".

Divisors: 1 3 9 13 39 113 117 339 1017 1469 4407 13221 1243637713 3730913139 11192739417 16167290269 48501870807 140531061569 145505612421 421593184707 1264779554121 1826903800397 5480711401191 16442134203573