Search a number
-
+
16505600225 = 5210914934057
BaseRepresentation
bin11110101111100111…
…10111100011100001
31120121022012100220212
433113303313203201
5232300413201400
611325500143505
71123011200312
oct172763674341
946538170825
1016505600225
116aaaa87824
123247837b95
13173074c36a
14b28184609
156690b8335
hex3d7cf78e1

16505600225 has 24 divisors (see below), whose sum is σ = 20673643320. Its totient is φ = 13071352320.

The previous prime is 16505600197. The next prime is 16505600273. The reversal of 16505600225 is 52200650561.

It can be written as a sum of positive squares in 12 ways, for example, as 761373649 + 15744226576 = 27593^2 + 125476^2 .

It is not a de Polignac number, because 16505600225 - 230 = 15431858401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16505600191 and 16505600200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4066397 + ... + 4070453.

It is an arithmetic number, because the mean of its divisors is an integer number (861401805).

Almost surely, 216505600225 is an apocalyptic number.

It is an amenable number.

16505600225 is a deficient number, since it is larger than the sum of its proper divisors (4168043095).

16505600225 is a wasteful number, since it uses less digits than its factorization.

16505600225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 16505600225 in words is "sixteen billion, five hundred five million, six hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 109 545 1493 2725 4057 7465 20285 37325 101425 162737 442213 813685 2211065 4068425 6057101 11055325 30285505 151427525 660224009 3301120045 16505600225