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16207581481 = 7213213992
BaseRepresentation
bin11110001100000110…
…00001000100101001
31112211112102110001121
433012003001010221
5231143120101411
611240132415241
71112432112100
oct170603010451
945745373047
1016207581481
116967836943
123183a77521
1316b3a96300
14ada769037
1564cd4b571
hex3c60c1129

16207581481 has 27 divisors (see below), whose sum is σ = 20430167031. Its totient is φ = 12814414704.

The previous prime is 16207581449. The next prime is 16207581497. The reversal of 16207581481 is 18418570261.

The square root of 16207581481 is 127309.

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., 2397571225 + 13810010256 = 48965^2 + 117516^2 .

It is not a de Polignac number, because 16207581481 - 25 = 16207581449 is a prime.

It is a super-2 number, since 2×162075814812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16207581421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11584420 + ... + 11585818.

It is an arithmetic number, because the mean of its divisors is an integer number (756672853).

Almost surely, 216207581481 is an apocalyptic number.

16207581481 is the 127309-th square number.

16207581481 is the 63655-th centered octagonal number.

It is an amenable number.

16207581481 is a deficient number, since it is larger than the sum of its proper divisors (4222585550).

16207581481 is an frugal number, since it uses more digits than its factorization.

16207581481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 16207581481 in words is "sixteen billion, two hundred seven million, five hundred eighty-one thousand, four hundred eighty-one".

Divisors: 1 7 13 49 91 169 637 1183 1399 8281 9793 18187 68551 127309 236431 891163 1655017 1957201 11585119 13700407 25443613 95902849 178105291 330766969 1246737037 2315368783 16207581481