Search a number
-
+
16358505813 = 3213997140237
BaseRepresentation
bin11110011110000101…
…01111110101010101
31120020001102012022200
433033002233311111
5232000234141223
611303123315113
71116244001526
oct171702576525
946201365280
1016358505813
116a34a4a5a1
12320651ba99
131709129b50
14b1281484d
1565b20ea43
hex3cf0afd55

16358505813 has 24 divisors (see below), whose sum is σ = 25472269368. Its totient is φ = 10056604032.

The previous prime is 16358505811. The next prime is 16358505817. The reversal of 16358505813 is 31850585361.

16358505813 is a `hidden beast` number, since 1 + 6 + 3 + 585 + 0 + 58 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7451487684 + 8907018129 = 86322^2 + 94377^2 .

It is not a de Polignac number, because 16358505813 - 21 = 16358505811 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16358505811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46531 + ... + 186767.

It is an arithmetic number, because the mean of its divisors is an integer number (1061344557).

Almost surely, 216358505813 is an apocalyptic number.

16358505813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16358505813 is a deficient number, since it is larger than the sum of its proper divisors (9113763555).

16358505813 is a wasteful number, since it uses less digits than its factorization.

16358505813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141253 (or 141250 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 16358505813 in words is "sixteen billion, three hundred fifty-eight million, five hundred five thousand, eight hundred thirteen".

Divisors: 1 3 9 13 39 117 997 2991 8973 12961 38883 116649 140237 420711 1262133 1823081 5469243 16407729 139816289 419448867 1258346601 1817611757 5452835271 16358505813