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16342015000 = 235417192259
BaseRepresentation
bin11110011100000111…
…10101110000011000
31120011220101101011211
433032003311300120
5231432023440000
611301334032504
71115653556413
oct171603656030
946156341154
1016342015000
116a26706823
123200aa8734
1317058a4a7c
14b10560b7a
15659a537ba
hex3ce0f5c18

16342015000 has 80 divisors (see below), whose sum is σ = 40541866200. Its totient is φ = 6152256000.

The previous prime is 16342014989. The next prime is 16342015003. The reversal of 16342015000 is 51024361.

16342015000 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-2 number, since 2×163420150002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16342015003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11130 + ... + 181129.

Almost surely, 216342015000 is an apocalyptic number.

16342015000 is a gapful number since it is divisible by the number (10) 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 16342015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270933100).

16342015000 is an abundant number, since it is smaller than the sum of its proper divisors (24199851200).

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

16342015000 is a wasteful number, since it uses less digits than its factorization.

16342015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192302 (or 192283 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 16342015000 its reverse (51024361), we get a palindrome (16393039361).

The spelling of 16342015000 in words is "sixteen billion, three hundred forty-two million, fifteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4250 5000 8500 10625 17000 21250 42500 85000 192259 384518 769036 961295 1538072 1922590 3268403 3845180 4806475 6536806 7690360 9612950 13073612 16342015 19225900 24032375 26147224 32684030 38451800 48064750 65368060 81710075 96129500 120161875 130736120 163420150 192259000 240323750 326840300 408550375 480647500 653680600 817100750 961295000 1634201500 2042751875 3268403000 4085503750 8171007500 16342015000