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14201606172 = 22313151602887
BaseRepresentation
bin11010011100111101…
…10101000000011100
31100122201211100020210
431032132311000130
5213041102344142
610305113412420
71011633442425
oct151636650034
940581740223
1014201606172
116028488a06
12290410a110
131454309280
1498a19664c
15581ba849c
hex34e7b501c

14201606172 has 48 divisors (see below), whose sum is σ = 35922478592. Its totient is φ = 4340779200.

The previous prime is 14201606171. The next prime is 14201606207. The reversal of 14201606172 is 27160610241.

14201606172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201606171) 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 15 ways as a sum of consecutive naturals, for example, 277888 + ... + 324999.

Almost surely, 214201606172 is an apocalyptic number.

14201606172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14201606172 is an abundant number, since it is smaller than the sum of its proper divisors (21720872420).

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

14201606172 is a wasteful number, since it uses less digits than its factorization.

14201606172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603058 (or 603056 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 14201606172 in words is "fourteen billion, two hundred one million, six hundred six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5889 7852 11778 23556 602887 1205774 1808661 2411548 3617322 7234644 7837531 15675062 23512593 31350124 47025186 91035937 94050372 182071874 273107811 364143748 546215622 1092431244 1183467181 2366934362 3550401543 4733868724 7100803086 14201606172