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15405449216 = 2152292053
BaseRepresentation
bin11100101100011110…
…01000000000000000
31110202122001220110012
432112033020000000
5223022243333331
611024400124052
71053522105053
oct162617100000
943678056405
1015405449216
116595a7a013
122b9b306628
1315b6847a31
14a62006a9a
1560270282b
hex3963c8000

15405449216 has 64 divisors (see below), whose sum is σ = 30960044700. Its totient is φ = 7665352704.

The previous prime is 15405449201. The next prime is 15405449239. The reversal of 15405449216 is 61294450451.

It can be written as a sum of positive squares in 2 ways, for example, as 14323302400 + 1082146816 = 119680^2 + 32896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7502846 + ... + 7504898.

Almost surely, 215405449216 is an apocalyptic number.

15405449216 is a gapful number since it is divisible by the number (16) 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 15405449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480022350).

15405449216 is an abundant number, since it is smaller than the sum of its proper divisors (15554595484).

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

15405449216 is an frugal number, since it uses more digits than its factorization.

15405449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

Adding to 15405449216 its reverse (61294450451), we get a palindrome (76699899667).

The spelling of 15405449216 in words is "fifteen billion, four hundred five million, four hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 512 916 1024 1832 2048 2053 3664 4096 4106 7328 8192 8212 14656 16384 16424 29312 32768 32848 58624 65696 117248 131392 234496 262784 468992 470137 525568 937984 940274 1051136 1875968 1880548 2102272 3751936 3761096 4204544 7503872 7522192 8409088 15044384 16818176 30088768 33636352 60177536 67272704 120355072 240710144 481420288 962840576 1925681152 3851362304 7702724608 15405449216