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16122650625 = 325416932
BaseRepresentation
bin11110000001111110…
…00010000000000001
31112121121121111211100
433000333002000001
5231004344310000
611223500205013
71110351161214
oct170077020001
945547544740
1016122650625
1169238a8054
12315b539769
13169c2ca773
14acd37b77b
15645671a00
hex3c0fc2001

16122650625 has 45 divisors (see below), whose sum is σ = 29118225279. Its totient is φ = 8593668000.

The previous prime is 16122650623. The next prime is 16122650657. The reversal of 16122650625 is 52605622161.

The square root of 16122650625 is 126975.

It is a perfect power (a square), and thus also a powerful number.

16122650625 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 26 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 13888386801 + 2234263824 = 117849^2 + 47268^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 16122650625 - 21 = 16122650623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16122650625.

It is not an unprimeable number, because it can be changed into a prime (16122650623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9522279 + ... + 9523971.

Almost surely, 216122650625 is an apocalyptic number.

16122650625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16122650625 is the 126975-th square number.

16122650625 is the 63488-th centered octagonal number.

It is an amenable number.

16122650625 is a deficient number, since it is larger than the sum of its proper divisors (12995574654).

16122650625 is an frugal number, since it uses more digits than its factorization.

16122650625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 16122650625 by its sum of digits (36), we get a square (580415422500 = 7618502).

The spelling of 16122650625 in words is "sixteen billion, one hundred twenty-two million, six hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1693 1875 5079 5625 8465 15237 25395 42325 76185 126975 211625 380925 634875 1058125 1904625 2866249 3174375 8598747 9523125 14331245 25796241 42993735 71656225 128981205 214968675 358281125 644906025 1074843375 1791405625 3224530125 5374216875 16122650625