Search a number
-
+
9418052816 = 243797401409
BaseRepresentation
bin10001100010101110…
…00001010011010000
3220022100201122122222
420301113001103100
5123242010142231
64154313320212
7452250061634
oct106127012320
926270648588
109418052816
113aa3277527
1219aa106068
13b71272923
14654b58dc4
153a1c5927b
hex2315c14d0

9418052816 has 80 divisors (see below), whose sum is σ = 19027480080. Its totient is φ = 4512153600.

The previous prime is 9418052797. The next prime is 9418052843. The reversal of 9418052816 is 6182508149.

It can be written as a sum of positive squares in 8 ways, for example, as 4738945600 + 4679107216 = 68840^2 + 68404^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23026820 + ... + 23027228.

It is an arithmetic number, because the mean of its divisors is an integer number (237843501).

Almost surely, 29418052816 is an apocalyptic number.

It is an amenable number.

9418052816 is an abundant number, since it is smaller than the sum of its proper divisors (9609427264).

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

9418052816 is a wasteful number, since it uses less digits than its factorization.

9418052816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 9418052816 is about 97046.6527810207. The cubic root of 9418052816 is about 2111.8044816805.

The spelling of 9418052816 in words is "nine billion, four hundred eighteen million, fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 37 74 97 148 194 296 388 401 409 592 776 802 818 1552 1604 1636 3208 3272 3589 6416 6544 7178 14356 14837 15133 28712 29674 30266 38897 39673 57424 59348 60532 77794 79346 118696 121064 155588 158692 164009 237392 242128 311176 317384 328018 622352 634768 656036 1312072 1439189 1467901 2624144 2878378 2935802 5756756 5871604 6068333 11513512 11743208 12136666 15908873 23027024 23486416 24273332 31817746 48546664 63635492 97093328 127270984 254541968 588628301 1177256602 2354513204 4709026408 9418052816