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11097197568 = 2103210911047
BaseRepresentation
bin10100101010111000…
…11100110000000000
31001122101100001020100
422111130130300000
5140211340310233
65033055242400
7541666423452
oct122534346000
931571301210
1011097197568
114785095866
122198519400
13107b0c96c2
14773b722d2
1544e38d813
hex29571cc00

11097197568 has 132 divisors (see below), whose sum is σ = 32339816080. Its totient is φ = 3664797696.

The previous prime is 11097197563. The next prime is 11097197597. The reversal of 11097197568 is 86579179011.

11097197568 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 71 + 9 + 7 + 568 = 666.

It is a super-2 number, since 2×110971975682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11097197561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999021 + ... + 1010067.

Almost surely, 211097197568 is an apocalyptic number.

11097197568 is a gapful number since it is divisible by the number (18) 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 11097197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16169908040).

11097197568 is an abundant number, since it is smaller than the sum of its proper divisors (21242618512).

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

11097197568 is a wasteful number, since it uses less digits than its factorization.

11097197568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11161 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 11097197568 in words is "eleven billion, ninety-seven million, one hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 256 288 327 384 436 512 576 654 768 872 981 1024 1152 1308 1536 1744 1962 2304 2616 3072 3488 3924 4608 5232 6976 7848 9216 10464 11047 13952 15696 20928 22094 27904 31392 33141 41856 44188 55808 62784 66282 83712 88376 99423 111616 125568 132564 167424 176752 198846 251136 265128 334848 353504 397692 502272 530256 707008 795384 1004544 1060512 1204123 1414016 1590768 2121024 2408246 2828032 3181536 3612369 4242048 4816492 5656064 6363072 7224738 8484096 9632984 10837107 11312128 12726144 14449476 16968192 19265968 21674214 25452288 28898952 33936384 38531936 43348428 50904576 57797904 77063872 86696856 101809152 115595808 154127744 173393712 231191616 308255488 346787424 462383232 616510976 693574848 924766464 1233021952 1387149696 1849532928 2774299392 3699065856 5548598784 11097197568