Search a number
-
+
16706713320 = 23345112389229
BaseRepresentation
bin11111000111100110…
…00011011011101000
31121010022121222020000
433203303003123220
5233203404311240
611401442503000
71131002502003
oct174363033350
947108558200
1016706713320
1170a355aaa0
1232a3064a60
1317633061ab
14b46b7653a
1567ba92430
hex3e3cc36e8

16706713320 has 640 divisors, whose sum is σ = 64921824000. Its totient is φ = 3813765120.

The previous prime is 16706713301. The next prime is 16706713321. The reversal of 16706713320 is 2331760761.

It is a super-2 number, since 2×167067133202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16706713321) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 72954966 + ... + 72955194.

It is an arithmetic number, because the mean of its divisors is an integer number (101440350).

Almost surely, 216706713320 is an apocalyptic number.

16706713320 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 16706713320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32460912000).

16706713320 is an abundant number, since it is smaller than the sum of its proper divisors (48215110680).

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

16706713320 is a wasteful number, since it uses less digits than its factorization.

16706713320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 16706713320 in words is "sixteen billion, seven hundred six million, seven hundred thirteen thousand, three hundred twenty".