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16058211841 = 724324212
BaseRepresentation
bin11101111010010010…
…01101111000000001
31112110010100200102201
432331021031320001
5230341400234331
611213235113201
71105636356100
oct167511157001
945403320381
1016058211841
1168a0495261
123141a42801
13168bb582c9
14ac49a6037
1563eb93a61
hex3bd24de01

16058211841 has 27 divisors (see below), whose sum is σ = 19170015363. Its totient is φ = 13412150640.

The previous prime is 16058211811. The next prime is 16058211857. The reversal of 16058211841 is 14811285061.

The square root of 16058211841 is 126721.

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

16058211841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 76195441 + 15982016400 = 8729^2 + 126420^2 .

It is not a de Polignac number, because 16058211841 - 213 = 16058203649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16058211841.

It is not an unprimeable number, because it can be changed into a prime (16058211811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38142811 + ... + 38143231.

It is an arithmetic number, because the mean of its divisors is an integer number (710000569).

Almost surely, 216058211841 is an apocalyptic number.

16058211841 is the 126721-st square number.

16058211841 is the 63361-st centered octagonal number.

It is an amenable number.

16058211841 is a deficient number, since it is larger than the sum of its proper divisors (3111803522).

16058211841 is an frugal number, since it uses more digits than its factorization.

16058211841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 37.

The spelling of 16058211841 in words is "sixteen billion, fifty-eight million, two hundred eleven thousand, eight hundred forty-one".

Divisors: 1 7 43 49 301 421 1849 2107 2947 12943 18103 20629 90601 126721 177241 778429 887047 1240687 5449003 7621363 8684809 38143021 53349541 327718609 373446787 2294030263 16058211841