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11411094528 = 210322514933
BaseRepresentation
bin10101010000010011…
…10111110000000000
31002110020222122220200
422220021313300000
5141332220011103
65124151205200
7552530463111
oct125011676000
932406878820
1011411094528
1149262a1239
122265676800
1310cb151a52
147a3722208
1546bbe50a3
hex2a8277c00

11411094528 has 132 divisors (see below), whose sum is σ = 33087265848. Its totient is φ = 3787776000.

The previous prime is 11411094509. The next prime is 11411094547. The reversal of 11411094528 is 82549011411.

11411094528 is a `hidden beast` number, since 1 + 1 + 41 + 1 + 0 + 94 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (11411094509) and next prime (11411094547).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11411094492 and 11411094501.

It is a congruent number.

It is an unprimeable number.

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, 2310750 + ... + 2315682.

Almost surely, 211411094528 is an apocalyptic number.

11411094528 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 11411094528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543632924).

11411094528 is an abundant number, since it is smaller than the sum of its proper divisors (21676171320).

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

11411094528 is a wasteful number, since it uses less digits than its factorization.

11411094528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11411094528 in words is "eleven billion, four hundred eleven million, ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 256 288 384 502 512 576 753 768 1004 1024 1152 1506 1536 2008 2259 2304 3012 3072 4016 4518 4608 4933 6024 8032 9036 9216 9866 12048 14799 16064 18072 19732 24096 29598 32128 36144 39464 44397 48192 59196 64256 72288 78928 88794 96384 118392 128512 144576 157856 177588 192768 236784 257024 289152 315712 355176 385536 473568 578304 631424 710352 771072 947136 1156608 1238183 1262848 1420704 1894272 2313216 2476366 2525696 2841408 3714549 3788544 4952732 5051392 5682816 7429098 7577088 9905464 11143647 11365632 14858196 15154176 19810928 22287294 22731264 29716392 39621856 44574588 45462528 59432784 79243712 89149176 118865568 158487424 178298352 237731136 316974848 356596704 475462272 633949696 713193408 950924544 1267899392 1426386816 1901849088 2852773632 3803698176 5705547264 11411094528