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11052726664 = 23717191673659
BaseRepresentation
bin10100100101100101…
…10011100110001000
31001112021122200121211
422102302303212020
5140113444223124
65024430142504
7540616424620
oct122262634610
931467580554
1011052726664
114761a81151
122185651a34
131071b28b65
1476bcb7880
1544a506e94
hex292cb3988

11052726664 has 128 divisors (see below), whose sum is σ = 26562816000. Its totient is φ = 4197159936.

The previous prime is 11052726557. The next prime is 11052726679. The reversal of 11052726664 is 46662725011.

It is a happy 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, 3018867 + ... + 3022525.

It is an arithmetic number, because the mean of its divisors is an integer number (207522000).

Almost surely, 211052726664 is an apocalyptic number.

11052726664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11052726664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281408000).

11052726664 is an abundant number, since it is smaller than the sum of its proper divisors (15510089336).

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

11052726664 is a wasteful number, since it uses less digits than its factorization.

11052726664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 11052726664 in words is "eleven billion, fifty-two million, seven hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 167 238 266 323 334 476 532 646 668 952 1064 1169 1292 1336 2261 2338 2584 2839 3173 3659 4522 4676 5678 6346 7318 9044 9352 11356 12692 14636 18088 19873 22211 22712 25384 25613 29272 39746 44422 51226 53941 62203 69521 79492 88844 102452 107882 124406 139042 158984 177688 204904 215764 248812 278084 377587 431528 435421 486647 497624 556168 611053 755174 870842 973294 1181857 1222106 1510348 1741684 1946588 2363714 2444212 3020696 3483368 3893176 4277371 4727428 4888424 8272999 8554742 9454856 10387901 11610007 16545998 17109484 20775802 23220014 33091996 34218968 41551604 46440028 66183992 72715307 81270049 83103208 92880056 145430614 162540098 197370119 290861228 325080196 394740238 581722456 650160392 789480476 1381590833 1578960952 2763181666 5526363332 11052726664