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11056237104 = 24311198591283
BaseRepresentation
bin10100100110000000…
…01100101000110000
31001112112021001001010
422103000030220300
5140120344041404
65025033310520
7540661315263
oct122300145060
931475231033
1011056237104
114763a59640
122186865440
131072787943
1476c54ccda
1544a99c189
hex29300ca30

11056237104 has 160 divisors (see below), whose sum is σ = 32862182400. Its totient is φ = 3167873280.

The previous prime is 11056237051. The next prime is 11056237111. The reversal of 11056237104 is 40173265011.

It is an unprimeable number.

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, 8616847 + ... + 8618129.

It is an arithmetic number, because the mean of its divisors is an integer number (205388640).

Almost surely, 211056237104 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 11056237104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431091200).

11056237104 is an abundant number, since it is smaller than the sum of its proper divisors (21805945296).

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

11056237104 is a wasteful number, since it uses less digits than its factorization.

11056237104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

It can be divided in two parts, 11056 and 237104, that added together give a triangular number (248160 = T704).

The spelling of 11056237104 in words is "eleven billion, fifty-six million, two hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 859 912 1254 1283 1672 1718 2508 2566 2577 3344 3436 3849 5016 5132 5154 6872 7698 9449 10032 10264 10308 13744 14113 15396 16321 18898 20528 20616 24377 28226 28347 30792 32642 37796 41232 42339 48754 48963 56452 56694 61584 65284 73131 75592 84678 97508 97926 112904 113388 130568 146262 151184 169356 179531 195016 195852 225808 226776 261136 268147 292524 338712 359062 390032 391704 453552 536294 538593 585048 677424 718124 783408 804441 1072588 1077186 1102097 1170096 1436248 1608882 2145176 2154372 2204194 2872496 3217764 3306291 4290352 4308744 4408388 6435528 6612582 8617488 8816776 12123067 12871056 13225164 17633552 20939843 24246134 26450328 36369201 41879686 48492268 52900656 62819529 72738402 83759372 96984536 125639058 145476804 167518744 193969072 230338273 251278116 290953608 335037488 460676546 502556232 581907216 691014819 921353092 1005112464 1382029638 1842706184 2764059276 3685412368 5528118552 11056237104