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11643300564 = 22377312714951
BaseRepresentation
bin10101101011111111…
…01010101011010100
31010001102220221201020
422311333222223110
5142321141104224
65203204201140
7561350264460
oct126577525324
933042827636
1011643300564
114a35381055
12230b3991b0
1311372a417c
147c64c94a0
154822b1c79
hex2b5feaad4

11643300564 has 96 divisors (see below), whose sum is σ = 31724077056. Its totient is φ = 3255033600.

The previous prime is 11643300517. The next prime is 11643300583. The reversal of 11643300564 is 46500334611.

It is a congruent 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, 771289 + ... + 786239.

It is an arithmetic number, because the mean of its divisors is an integer number (330459136).

Almost surely, 211643300564 is an apocalyptic number.

11643300564 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 11643300564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15862038528).

11643300564 is an abundant number, since it is smaller than the sum of its proper divisors (20080776492).

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

11643300564 is a wasteful number, since it uses less digits than its factorization.

11643300564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15165 (or 15163 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 11643300564 in words is "eleven billion, six hundred forty-three million, three hundred thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 127 146 219 254 292 381 438 508 511 762 876 889 1022 1524 1533 1778 2044 2667 3066 3556 5334 6132 9271 10668 14951 18542 27813 29902 37084 44853 55626 59804 64897 89706 104657 111252 129794 179412 194691 209314 259588 313971 389382 418628 627942 778764 1091423 1255884 1898777 2182846 3274269 3797554 4365692 5696331 6548538 7595108 7639961 11392662 13097076 13291439 15279922 22785324 22919883 26582878 30559844 39874317 45839766 53165756 79748634 91679532 138610721 159497268 277221442 415832163 554442884 831664326 970275047 1663328652 1940550094 2910825141 3881100188 5821650282 11643300564