Search a number
-
+
11067062552 = 23713471811787
BaseRepresentation
bin10100100111010010…
…11111100100011000
31001120021122000202122
422103221133210120
5140131132000202
65030101320412
7541152323330
oct122351374430
931507560678
1011067062552
11476a082997
12218a406108
131074aa8130
1476db6a0c0
1544b8d99a2
hex293a5f918

11067062552 has 128 divisors (see below), whose sum is σ = 26241546240. Its totient is φ = 4258967040.

The previous prime is 11067062491. The next prime is 11067062579. The reversal of 11067062552 is 25526076011.

11067062552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 6192203 + ... + 6193989.

It is an arithmetic number, because the mean of its divisors is an integer number (205012080).

Almost surely, 211067062552 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 11067062552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13120773120).

11067062552 is an abundant number, since it is smaller than the sum of its proper divisors (15174483688).

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

11067062552 is a wasteful number, since it uses less digits than its factorization.

11067062552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 11067062552 in words is "eleven billion, sixty-seven million, sixty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 47 52 56 91 94 104 181 182 188 329 362 364 376 611 658 724 728 1222 1267 1316 1448 1787 2353 2444 2534 2632 3574 4277 4706 4888 5068 7148 8507 8554 9412 10136 12509 14296 16471 17014 17108 18824 23231 25018 32942 34028 34216 46462 50036 59549 65884 68056 83989 92924 100072 110591 119098 131768 162617 167978 185848 221182 238196 323447 325234 335956 442364 476392 587923 646894 650468 671912 774137 884728 1091857 1175846 1293788 1300936 1548274 2183714 2264129 2351692 2587576 3096548 4204811 4367428 4528258 4703384 6193096 7642999 8409622 8734856 9056516 15202009 15285998 16819244 18113032 29433677 30404018 30571996 33638488 58867354 60808036 61143992 106414063 117734708 121616072 197626117 212828126 235469416 395252234 425656252 790504468 851312504 1383382819 1581008936 2766765638 5533531276 11067062552