Search a number
-
+
12099999984 = 24389103107257
BaseRepresentation
bin10110100010011011…
…10101100011110000
31011020021021200112120
423101031311203300
5144240044444414
65320400554240
7605564205612
oct132115654360
934207250476
1012099999984
11514a153096
122418322980
1311aaaa8307
1482b00cdb2
154ac4252a9
hex2d13758f0

12099999984 has 160 divisors (see below), whose sum is σ = 32340072960. Its totient is φ = 3897163776.

The previous prime is 12099999983. The next prime is 12100000051. The reversal of 12099999984 is 48999999021.

12099999984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120999999842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12099999983) 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 31 ways as a sum of consecutive naturals, for example, 47081584 + ... + 47081840.

It is an arithmetic number, because the mean of its divisors is an integer number (202125456).

Almost surely, 212099999984 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 12099999984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170036480).

12099999984 is an abundant number, since it is smaller than the sum of its proper divisors (20240072976).

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

12099999984 is a wasteful number, since it uses less digits than its factorization.

12099999984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 69.

The spelling of 12099999984 in words is "twelve billion, ninety-nine million, nine hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 103 107 178 206 214 257 267 309 321 356 412 428 514 534 618 642 712 771 824 856 1028 1068 1236 1284 1424 1542 1648 1712 2056 2136 2472 2568 3084 4112 4272 4944 5136 6168 9167 9523 11021 12336 18334 19046 22042 22873 26471 27499 27501 28569 33063 36668 38092 44084 45746 52942 54998 55002 57138 66126 68619 73336 76184 79413 82497 88168 91492 105884 109996 110004 114276 132252 137238 146672 152368 158826 164994 176336 182984 211768 219992 220008 228552 264504 274476 317652 329988 365968 423536 439984 440016 457104 529008 548952 635304 659976 980869 1097904 1270608 1319952 1961738 2355919 2447411 2832397 2942607 3923476 4711838 4894822 5664794 5885214 7067757 7342233 7846952 8497191 9423676 9789644 11329588 11770428 14135514 14684466 15693904 16994382 18847352 19579288 22659176 23540856 28271028 29368932 33988764 37694704 39158576 45318352 47081712 56542056 58737864 67977528 113084112 117475728 135955056 252083333 504166666 756249999 1008333332 1512499998 2016666664 3024999996 4033333328 6049999992 12099999984