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11805331712 = 281931591327
BaseRepresentation
bin10101111111010011…
…10001000100000000
31010110201210222122212
422333221301010000
5143134131103322
65231233121252
7565355443466
oct127751610400
933421728585
1011805331712
115008890499
1223556b9228
131161a262a5
147ddc26836
1549161b0e2
hex2bfa71100

11805331712 has 144 divisors (see below), whose sum is σ = 26058547200. Its totient is φ = 5315880960.

The previous prime is 11805331697. The next prime is 11805331717. The reversal of 11805331712 is 21713350811.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11805331717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8895593 + ... + 8896919.

Almost surely, 211805331712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11805331712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029273600).

11805331712 is an abundant number, since it is smaller than the sum of its proper divisors (14253215488).

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

11805331712 is a wasteful number, since it uses less digits than its factorization.

11805331712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 11805331712 in words is "eleven billion, eight hundred five million, three hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 59 62 64 76 118 124 128 152 236 248 256 304 472 496 589 608 944 992 1121 1178 1216 1327 1829 1888 1984 2242 2356 2432 2654 3658 3776 3968 4484 4712 4864 5308 7316 7552 7936 8968 9424 10616 14632 15104 17936 18848 21232 25213 29264 34751 35872 37696 41137 42464 50426 58528 69502 71744 75392 78293 82274 84928 100852 117056 139004 143488 150784 156586 164548 169856 201704 234112 278008 286976 313172 329096 339712 403408 468224 556016 626344 658192 781603 806816 1112032 1252688 1316384 1487567 1563206 1613632 2224064 2427083 2505376 2632768 2975134 3126412 3227264 4448128 4854166 5010752 5265536 5950268 6252824 6454528 8896256 9708332 10021504 10531072 11900536 12505648 19416664 20043008 23801072 25011296 38833328 46114577 47602144 50022592 77666656 92229154 95204288 100045184 155333312 184458308 190408576 200090368 310666624 368916616 380817152 621333248 737833232 1475666464 2951332928 5902665856 11805331712