Search a number
-
+
16298428960 = 2551123761373
BaseRepresentation
bin11110010110111011…
…00100101000100000
31120001212100222101001
433023131210220200
5231334344211320
611253135521344
71114614234412
oct171335445040
946055328331
1016298428960
116a04046a00
1231aa389254
1316c9853c08
14b088569b2
15655ce420a
hex3cb764a20

16298428960 has 288 divisors, whose sum is σ = 44298633456. Its totient is φ = 5656780800.

The previous prime is 16298428943. The next prime is 16298429009. The reversal of 16298428960 is 6982489261.

It can be written as a sum of positive squares in 8 ways, for example, as 6154716304 + 10143712656 = 78452^2 + 100716^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43695334 + ... + 43695706.

Almost surely, 216298428960 is an apocalyptic number.

16298428960 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 16298428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22149316728).

16298428960 is an abundant number, since it is smaller than the sum of its proper divisors (28000204496).

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

16298428960 is a wasteful number, since it uses less digits than its factorization.

16298428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 16298428960 in words is "sixteen billion, two hundred ninety-eight million, four hundred twenty-eight thousand, nine hundred sixty".