Search a number
-
+
9940484180 = 22511319071607
BaseRepresentation
bin10010100000111111…
…11100000001010100
3221122202202220202202
421100133330001110
5130324230443210
64322215024032
7501222502304
oct112037740124
927582686682
109940484180
114241164990
121b1506b018
13c2557ca03
146a42ad604
153d2a539a5
hex2507fc054

9940484180 has 96 divisors (see below), whose sum is σ = 23547912192. Its totient is φ = 3492086400.

The previous prime is 9940484179. The next prime is 9940484207. The reversal of 9940484180 is 814840499.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6184937 + ... + 6186543.

It is an arithmetic number, because the mean of its divisors is an integer number (245290752).

Almost surely, 29940484180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9940484180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773956096).

9940484180 is an abundant number, since it is smaller than the sum of its proper divisors (13607428012).

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

9940484180 is a wasteful number, since it uses less digits than its factorization.

9940484180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 9940484180 is about 99701.9768108938. The cubic root of 9940484180 is about 2150.1520844283.

The spelling of 9940484180 in words is "nine billion, nine hundred forty million, four hundred eighty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 907 1364 1607 1705 1814 3214 3410 3628 4535 6428 6820 8035 9070 9977 16070 17677 18140 19954 28117 32140 35354 39908 49817 49885 56234 70708 88385 99634 99770 112468 140585 176770 199268 199540 249085 281170 309287 353540 498170 547987 562340 618574 996340 1095974 1237148 1457549 1546435 2191948 2739935 2915098 3092870 5479870 5830196 6185740 7287745 10959740 14575490 16033039 29150980 32066078 45184019 64132156 80165195 90368038 160330390 180736076 225920095 320660780 451840190 497024209 903680380 994048418 1988096836 2485121045 4970242090 9940484180