Search a number
-
+
16244664480 = 25335112389167
BaseRepresentation
bin11110010000100000…
…11110100010100000
31112221010012110101000
433020100132202200
5231232113230410
611243535312000
71113362240562
oct171020364240
945833173330
1016244664480
116986764950
12319437b600
1316bb67b205
14b0165d332
15651223dc0
hex3c841e8a0

16244664480 has 768 divisors, whose sum is σ = 65840947200. Its totient is φ = 3702251520.

The previous prime is 16244664439. The next prime is 16244664521. The reversal of 16244664480 is 8446644261.

16244664480 is a `hidden beast` number, since 162 + 4 + 4 + 6 + 6 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (16244664439) and next prime (16244664521).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97273357 + ... + 97273523.

It is an arithmetic number, because the mean of its divisors is an integer number (85730400).

Almost surely, 216244664480 is an apocalyptic number.

16244664480 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 16244664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32920473600).

16244664480 is an abundant number, since it is smaller than the sum of its proper divisors (49596282720).

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

16244664480 is a wasteful number, since it uses less digits than its factorization.

16244664480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 16244664480 in words is "sixteen billion, two hundred forty-four million, six hundred sixty-four thousand, four hundred eighty".