Search a number
-
+
16290052800 = 2635271719279
BaseRepresentation
bin11110010101111011…
…00111101011000000
31120001021121102102220
433022331213223000
5231330223142200
611252240211040
71114453110210
oct171275475300
946037542386
1016290052800
1169aa34585a
1231a7609a80
1316c7bb04c8
14b076b6240
156551dc4a0
hex3caf67ac0

16290052800 has 1008 divisors, whose sum is σ = 69119861760. Its totient is φ = 3277946880.

The previous prime is 16290052787. The next prime is 16290052861. The reversal of 16290052800 is 825009261.

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 143 ways as a sum of consecutive naturals, for example, 206203161 + ... + 206203239.

Almost surely, 216290052800 is an apocalyptic number.

16290052800 is a gapful number since it is divisible by the number (10) 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 16290052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34559930880).

16290052800 is an abundant number, since it is smaller than the sum of its proper divisors (52829808960).

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

16290052800 is a wasteful number, since it uses less digits than its factorization.

16290052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 16290052800 in words is "sixteen billion, two hundred ninety million, fifty-two thousand, eight hundred".