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11089542528 = 273231730367
BaseRepresentation
bin10100101001111110…
…01111110110000000
31001121211221010111100
422110333033312000
5140202410330103
65032223214400
7541544361531
oct122477176600
931554833440
1011089542528
114780837489
122195a47400
1310796492ac
14772b3c688
1544d87a5a3
hex294fcfd80

11089542528 has 96 divisors (see below), whose sum is σ = 32013034560. Its totient is φ = 3684731904.

The previous prime is 11089542517. The next prime is 11089542559. The reversal of 11089542528 is 82524598011.

11089542528 is a `hidden beast` number, since 1 + 1 + 0 + 89 + 5 + 42 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350001 + ... + 380367.

It is an arithmetic number, because the mean of its divisors is an integer number (333469110).

Almost surely, 211089542528 is an apocalyptic number.

11089542528 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 11089542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16006517280).

11089542528 is an abundant number, since it is smaller than the sum of its proper divisors (20923492032).

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

11089542528 is a wasteful number, since it uses less digits than its factorization.

11089542528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30704 (or 30689 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11089542528 in words is "eleven billion, eighty-nine million, five hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 317 384 576 634 951 1152 1268 1902 2536 2853 3804 5072 5706 7608 10144 11412 15216 20288 22824 30367 30432 40576 45648 60734 60864 91101 91296 121468 121728 182202 182592 242936 273303 364404 365184 485872 546606 728808 971744 1093212 1457616 1943488 2186424 2915232 3886976 4372848 5830464 8745696 9626339 11660928 17491392 19252678 28879017 34982784 38505356 57758034 77010712 86637051 115516068 154021424 173274102 231032136 308042848 346548204 462064272 616085696 693096408 924128544 1232171392 1386192816 1848257088 2772385632 3696514176 5544771264 11089542528