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16424710227135 = 345718257317333
BaseRepresentation
bin1110111100000010110100…
…0001001100010010111111
32011011012001021222202220000
43233000231001030102333
54123100301304232020
654533224022125343
73313434426255150
oct357005501142277
964135037882800
1016424710227135
115262753806191
121a13276280853
13921ac7303112
1440ad62b97927
151d739ed08090
hexef02d04c4bf

16424710227135 has 80 divisors (see below), whose sum is σ = 33650879270976. Its totient is φ = 7508004037632.

The previous prime is 16424710227059. The next prime is 16424710227137. The reversal of 16424710227135 is 53172201742461.

16424710227135 is a `hidden beast` number, since 1 + 6 + 4 + 247 + 102 + 271 + 35 = 666.

16424710227135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16424710227135 - 29 = 16424710226623 is a prime.

It is a super-3 number, since 3×164247102271353 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16424710227137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51599929 + ... + 51917261.

Almost surely, 216424710227135 is an apocalyptic number.

16424710227135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16424710227135 is an abundant number, since it is smaller than the sum of its proper divisors (17226169043841).

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

16424710227135 is a wasteful number, since it uses less digits than its factorization.

16424710227135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335614 (or 335605 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 16424710227135 its reverse (53172201742461), we get a palindrome (69596911969596).

The spelling of 16424710227135 in words is "sixteen trillion, four hundred twenty-four billion, seven hundred ten million, two hundred twenty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 18257 54771 91285 127799 164313 273855 317333 383397 492939 638995 821565 951999 1150191 1478817 1586665 1916985 2221331 2464695 2855997 3450573 4759995 5750955 6663993 7394085 8567991 10351719 11106655 14279985 17252865 19991979 25703973 33319965 42839955 51758595 59975937 99959895 128519865 179927811 299879685 899639055 5793548581 17380645743 28967742905 40554840067 52141937229 86903228715 121664520201 156425811687 202774200335 260709686145 364993560603 469277435061 608322601005 782129058435 1094980681809 1824967803015 2346387175305 3284942045427 5474903409045 16424710227135