Search a number
-
+
16393217296 = 24320092
BaseRepresentation
bin11110100010001110…
…01010010100010000
31120022110201201112011
433101013022110100
5232033130423141
611310403312304
71120145022301
oct172107122420
946273651464
1016393217296
116a525a8875
12321607b694
1317133914a1
14b1728c7a8
1565e2b9881
hex3d11ca510

16393217296 has 15 divisors (see below), whose sum is σ = 31762850821. Its totient is φ = 8196352576.

The previous prime is 16393217257. The next prime is 16393217327. The reversal of 16393217296 is 69271239361.

The square root of 16393217296 is 128036.

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

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 16384000000 = 3036^2 + 128000^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 496140 + ... + 528148.

Almost surely, 216393217296 is an apocalyptic number.

16393217296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16393217296 is the 128036-th square number.

It is an amenable number.

16393217296 is a deficient number, since it is larger than the sum of its proper divisors (15369633525).

16393217296 is an frugal number, since it uses more digits than its factorization.

16393217296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64026 (or 32011 counting only the distinct ones).

The product of its digits is 734832, while the sum is 49.

Multiplying 16393217296 by its sum of digits (49), we get a square (803267647504 = 8962522).

The spelling of 16393217296 in words is "sixteen billion, three hundred ninety-three million, two hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32009 64018 128036 256072 512144 1024576081 2049152162 4098304324 8196608648 16393217296