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11986853088 = 2537163109433
BaseRepresentation
bin10110010100111100…
…01101110011100000
31010221101101020011210
423022132031303200
5144022113244323
65301235510120
7603021366360
oct131236156340
933841336153
1011986853088
1150a12a2161
1223a6458340
1311905107a2
14819d989a0
154a2525293
hex2ca78dce0

11986853088 has 96 divisors (see below), whose sum is σ = 36181506816. Its totient is φ = 3403772928.

The previous prime is 11986853041. The next prime is 11986853093. The reversal of 11986853088 is 88035868911.

It is a happy number.

11986853088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54820 + ... + 164252.

It is an arithmetic number, because the mean of its divisors is an integer number (376890696).

Almost surely, 211986853088 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 11986853088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090753408).

11986853088 is an abundant number, since it is smaller than the sum of its proper divisors (24194653728).

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

11986853088 is a wasteful number, since it uses less digits than its factorization.

11986853088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109616 (or 109608 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 11986853088 in words is "eleven billion, nine hundred eighty-six million, eight hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 163 168 224 326 336 489 652 672 978 1141 1304 1956 2282 2608 3423 3912 4564 5216 6846 7824 9128 13692 15648 18256 27384 36512 54768 109433 109536 218866 328299 437732 656598 766031 875464 1313196 1532062 1750928 2298093 2626392 3064124 3501856 4596186 5252784 6128248 9192372 10505568 12256496 17837579 18384744 24512992 35675158 36769488 53512737 71350316 73538976 107025474 124863053 142700632 214050948 249726106 285401264 374589159 428101896 499452212 570802528 749178318 856203792 998904424 1498356636 1712407584 1997808848 2996713272 3995617696 5993426544 11986853088