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11067720216 = 2337271283859
BaseRepresentation
bin10100100111011000…
…00000001000011000
31001120022212102220120
422103230000020120
5140131314021331
65030123353240
7541161032610
oct122354001030
931508772816
1011067720216
11476a492013
12218a682820
131074c78597
1476dc9ba40
1544b9b9796
hex293b00218

11067720216 has 128 divisors (see below), whose sum is σ = 31887974400. Its totient is φ = 3135749760.

The previous prime is 11067720211. The next prime is 11067720217. The reversal of 11067720216 is 61202776011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11067720211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12883995 + ... + 12884853.

It is an arithmetic number, because the mean of its divisors is an integer number (249124800).

Almost surely, 211067720216 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 11067720216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943987200).

11067720216 is an abundant number, since it is smaller than the sum of its proper divisors (20820254184).

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

11067720216 is a wasteful number, since it uses less digits than its factorization.

11067720216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 11067720216 in words is "eleven billion, sixty-seven million, seven hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 271 283 542 566 813 849 859 1084 1132 1626 1698 1718 1897 1981 2168 2264 2577 3252 3396 3436 3794 3962 5154 5691 5943 6013 6504 6792 6872 7588 7924 10308 11382 11886 12026 15176 15848 18039 20616 22764 23772 24052 36078 45528 47544 48104 72156 76693 144312 153386 230079 232789 243097 306772 460158 465578 486194 536851 613544 698367 729291 920316 931156 972388 1073702 1396734 1458582 1610553 1629523 1701679 1840632 1862312 1944776 2147404 2793468 2917164 3221106 3259046 3403358 4294808 4888569 5105037 5586936 5834328 6442212 6518092 6806716 9777138 10210074 12884424 13036184 13613432 19554276 20420148 39108552 40840296 65879287 131758574 197637861 263517148 395275722 461155009 527034296 790551444 922310018 1383465027 1581102888 1844620036 2766930054 3689240072 5533860108 11067720216