Search a number
-
+
16513347040 = 255293558911
BaseRepresentation
bin11110110000100010…
…11010110111100000
31120121211202221112221
433120101122313200
5232304404101130
611330334200424
71123134063631
oct173021326740
946554687487
1016513347040
117004399053
12324a353114
131732232488
14b291dd888
15669ae887a
hex3d845ade0

16513347040 has 48 divisors (see below), whose sum is σ = 40358062080. Its totient is φ = 6377566720.

The previous prime is 16513346999. The next prime is 16513347047. The reversal of 16513347040 is 4074331561.

16513347040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16513346987 and 16513347005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16513347047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1774816 + ... + 1784095.

It is an arithmetic number, because the mean of its divisors is an integer number (840792960).

Almost surely, 216513347040 is an apocalyptic number.

16513347040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16513347040 is an abundant number, since it is smaller than the sum of its proper divisors (23844715040).

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

16513347040 is a wasteful number, since it uses less digits than its factorization.

16513347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558955 (or 3558947 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 16513347040 in words is "sixteen billion, five hundred thirteen million, three hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 3558911 7117822 14235644 17794555 28471288 35589110 56942576 71178220 103208419 113885152 142356440 206416838 284712880 412833676 516042095 569425760 825667352 1032084190 1651334704 2064168380 3302669408 4128336760 8256673520 16513347040