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11533472075304 = 23322396191082777
BaseRepresentation
bin1010011111010101100010…
…0000011000111000101000
31111211120220111110222211200
42213311120200120320220
53002431022322402204
640310223125324200
72300160122045244
oct247653040307050
944746814428750
1011533472075304
113747355344a63
121363320566660
136587a907703a
142bc319db3424
1515002ab59539
hexa7d58818e28

11533472075304 has 96 divisors (see below), whose sum is σ = 31417886448000. Its totient is φ = 3822216604416.

The previous prime is 11533472075233. The next prime is 11533472075339. The reversal of 11533472075304 is 40357027433511.

11533472075304 is a `hidden beast` number, since 1 + 1 + 5 + 334 + 7 + 2 + 0 + 7 + 5 + 304 = 666.

It is a super-2 number, since 2×115334720753042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11533472075304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10110364 + ... + 11193140.

It is an arithmetic number, because the mean of its divisors is an integer number (327269650500).

Almost surely, 211533472075304 is an apocalyptic number.

It is an amenable number.

11533472075304 is an abundant number, since it is smaller than the sum of its proper divisors (19884414372696).

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

11533472075304 is a wasteful number, since it uses less digits than its factorization.

11533472075304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083647 (or 1083640 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 11533472075304 in words is "eleven trillion, five hundred thirty-three billion, four hundred seventy-two million, seventy-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 239 478 619 717 956 1238 1434 1857 1912 2151 2476 2868 3714 4302 4952 5571 5736 7428 8604 11142 14856 17208 22284 44568 147941 295882 443823 591764 887646 1082777 1183528 1331469 1775292 2165554 2662938 3248331 3550584 4331108 5325876 6496662 8662216 9744993 10651752 12993324 19489986 25986648 38979972 77959944 258783703 517567406 670238963 776351109 1035134812 1340477926 1552702218 2010716889 2070269624 2329053327 2680955852 3105404436 4021433778 4658106654 5361911704 6032150667 6210808872 8042867556 9316213308 12064301334 16085735112 18632426616 24128602668 48257205336 160187112157 320374224314 480561336471 640748448628 961122672942 1281496897256 1441684009413 1922245345884 2883368018826 3844490691768 5766736037652 11533472075304