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11144897568 = 25357204749
BaseRepresentation
bin10100110000100100…
…11010010000100000
31001202201002110100000
422120102122100200
5140311043210233
65041521500000
7543116031510
oct123022322040
931681073300
1011144897568
1147aa005552
1221b04a1600
131087c5ac5c
1477a22b840
15453661d13
hex29849a420

11144897568 has 144 divisors (see below), whose sum is σ = 37562616000. Its totient is φ = 3184240896.

The previous prime is 11144897563. The next prime is 11144897591. The reversal of 11144897568 is 86579844111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11144897563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47943 + ... + 156806.

It is an arithmetic number, because the mean of its divisors is an integer number (260851500).

Almost surely, 211144897568 is an apocalyptic number.

11144897568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11144897568 is an abundant number, since it is smaller than the sum of its proper divisors (26417718432).

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

11144897568 is an equidigital number, since it uses as much as digits as its factorization.

11144897568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204781 (or 204761 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11144897568 in words is "eleven billion, one hundred forty-four million, eight hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 204749 409498 614247 818996 1228494 1433243 1637992 1842741 2456988 2866486 3275984 3685482 4299729 4913976 5528223 5732972 6551968 7370964 8599458 9827952 11056446 11465944 12899187 14741928 16584669 17198916 19655904 22112892 22931888 25798374 29483856 33169338 34397832 38697561 44225784 45863776 49754007 51596748 58967712 66338676 68795664 77395122 88451568 99508014 103193496 116092683 132677352 137591328 154790244 176903136 199016028 206386992 232185366 265354704 309580488 348278049 398032056 412773984 464370732 530709408 619160976 696556098 796064112 928741464 1238321952 1393112196 1592128224 1857482928 2786224392 3714965856 5572448784 11144897568