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11883749328 = 24331123310733
BaseRepresentation
bin10110001000101001…
…11001111111010000
31010200012101000102000
423010110321333100
5143314214434303
65243113554000
7600330126333
oct130424717720
933605330360
1011883749328
115049080840
122377a15900
131175051349
1480a3da61a
1549845ada3
hex2c4539fd0

11883749328 has 160 divisors (see below), whose sum is σ = 37374929280. Its totient is φ = 3585346560.

The previous prime is 11883749279. The next prime is 11883749333. The reversal of 11883749328 is 82394738811.

It is a happy number.

11883749328 is a `hidden beast` number, since 1 + 188 + 374 + 93 + 2 + 8 = 666.

11883749328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101850 + ... + 1112582.

It is an arithmetic number, because the mean of its divisors is an integer number (233593308).

Almost surely, 211883749328 is an apocalyptic number.

11883749328 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 11883749328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687464640).

11883749328 is an abundant number, since it is smaller than the sum of its proper divisors (25491179952).

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

11883749328 is a wasteful number, since it uses less digits than its factorization.

11883749328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10994 (or 10982 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 11883749328 in words is "eleven billion, eight hundred eighty-three million, seven hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 233 264 297 396 432 466 528 594 699 792 932 1188 1398 1584 1864 2097 2376 2563 2796 3728 4194 4752 5126 5592 6291 7689 8388 10252 10733 11184 12582 15378 16776 20504 21466 23067 25164 30756 32199 33552 41008 42932 46134 50328 61512 64398 69201 85864 92268 96597 100656 118063 123024 128796 138402 171728 184536 193194 236126 257592 276804 289791 354189 369072 386388 472252 515184 553608 579582 708378 772776 944504 1062567 1107216 1159164 1416756 1545552 1889008 2125134 2318328 2500789 2833512 3187701 4250268 4636656 5001578 5667024 6375402 7502367 8500536 10003156 12750804 15004734 17001072 20006312 22507101 25501608 27508679 30009468 40012624 45014202 51003216 55017358 60018936 67521303 82526037 90028404 110034716 120037872 135042606 165052074 180056808 220069432 247578111 270085212 330104148 360113616 440138864 495156222 540170424 660208296 742734333 990312444 1080340848 1320416592 1485468666 1980624888 2970937332 3961249776 5941874664 11883749328