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11120356544 = 261153491607
BaseRepresentation
bin10100101101101001…
…10010110011000000
31001200222220122101012
422112310302303000
5140233302402134
65035243500052
7542400320363
oct122664626300
931628818335
1011120356544
114797173510
1221a4227628
131082b4793b
14776c800da
154514156ce
hex296d32cc0

11120356544 has 112 divisors (see below), whose sum is σ = 24617696256. Its totient is φ = 4941081600.

The previous prime is 11120356543. The next prime is 11120356567. The reversal of 11120356544 is 44565302111.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11120356544.

It is not an unprimeable number, because it can be changed into a prime (11120356543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18319889 + ... + 18320495.

Almost surely, 211120356544 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 11120356544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12308848128).

11120356544 is an abundant number, since it is smaller than the sum of its proper divisors (13497339712).

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

11120356544 is a wasteful number, since it uses less digits than its factorization.

11120356544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 11120356544 its reverse (44565302111), we get a palindrome (55685658655).

The spelling of 11120356544 in words is "eleven billion, one hundred twenty million, three hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 352 424 491 583 607 704 848 982 1166 1214 1696 1964 2332 2428 3392 3928 4664 4856 5401 6677 7856 9328 9712 10802 13354 15712 18656 19424 21604 26023 26708 31424 32171 37312 38848 43208 52046 53416 64342 86416 104092 106832 128684 172832 208184 213664 257368 286253 298037 345664 353881 416368 427328 514736 572506 596074 707762 832736 1029472 1145012 1192148 1415524 1665472 2058944 2290024 2384296 2831048 3278407 4580048 4768592 5662096 6556814 9160096 9537184 11324192 13113628 15795961 18320192 19074368 22648384 26227256 31591922 52454512 63183844 104909024 126367688 173755571 209818048 252735376 347511142 505470752 695022284 1010941504 1390044568 2780089136 5560178272 11120356544