Search a number
-
+
16557314000 = 24538278657
BaseRepresentation
bin11110110101110010…
…01000111111010000
31120201220111200212212
433122321020333100
5232402133022000
611334544411252
71124206563323
oct173271107720
946656450785
1016557314000
117027199087
123261016b28
13173b387826
14b30da67ba
1566d8d0c35
hex3dae48fd0

16557314000 has 40 divisors (see below), whose sum is σ = 40035590088. Its totient is φ = 6622924800.

The previous prime is 16557313979. The next prime is 16557314029. The reversal of 16557314000 is 41375561.

It can be written as a sum of positive squares in 4 ways, for example, as 56370064 + 16500943936 = 7508^2 + 128456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4137329 + ... + 4141328.

Almost surely, 216557314000 is an apocalyptic number.

16557314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16557314000 is an abundant number, since it is smaller than the sum of its proper divisors (23478276088).

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

16557314000 is an equidigital number, since it uses as much as digits as its factorization.

16557314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278680 (or 8278664 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 16557314000 its reverse (41375561), we get a palindrome (16598689561).

The spelling of 16557314000 in words is "sixteen billion, five hundred fifty-seven million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 8278657 16557314 33114628 41393285 66229256 82786570 132458512 165573140 206966425 331146280 413932850 662292560 827865700 1034832125 1655731400 2069664250 3311462800 4139328500 8278657000 16557314000