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11860188620 = 225743245817
BaseRepresentation
bin10110000101110110…
…00001110111001100
31010121120001000012012
423002323001313030
5143242202013440
65240513000352
7566622640250
oct130273016714
933546030165
1011860188620
115036849285
12236bb530b8
1311701c22b7
14807226260
15496354e65
hex2c2ec1dcc

11860188620 has 72 divisors (see below), whose sum is σ = 29142447264. Its totient is φ = 3971697408.

The previous prime is 11860188611. The next prime is 11860188631. The reversal of 11860188620 is 2688106811.

11860188620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 235952 + ... + 281768.

It is an arithmetic number, because the mean of its divisors is an integer number (404756212).

Almost surely, 211860188620 is an apocalyptic number.

11860188620 is a gapful number since it is divisible by the number (10) 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 11860188620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14571223632).

11860188620 is an abundant number, since it is smaller than the sum of its proper divisors (17282258644).

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

11860188620 is a wasteful number, since it uses less digits than its factorization.

11860188620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45919 (or 45874 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 41.

The spelling of 11860188620 in words is "eleven billion, eight hundred sixty million, one hundred eighty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 1849 3010 3698 6020 7396 9245 12943 18490 25886 36980 45817 51772 64715 91634 129430 183268 229085 258860 320719 458170 641438 916340 1282876 1603595 1970131 3207190 3940262 6414380 7880524 9850655 13790917 19701310 27581834 39402620 55163668 68954585 84715633 137909170 169431266 275818340 338862532 423578165 593009431 847156330 1186018862 1694312660 2372037724 2965047155 5930094310 11860188620