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11869668920 = 2354112756989
BaseRepresentation
bin10110000110111110…
…01100011000111000
31010122012212122201102
423003133030120320
5143302113401140
65241452110532
7600066343514
oct130337143070
933565778642
1011869668920
115041133a3a
122373165448
131172161445
148085b3144
154970c8e15
hex2c37cc638

11869668920 has 64 divisors (see below), whose sum is σ = 27574041600. Its totient is φ = 4595512320.

The previous prime is 11869668917. The next prime is 11869668947. The reversal of 11869668920 is 2986696811.

It is a happy number.

11869668920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 179786 + ... + 236774.

It is an arithmetic number, because the mean of its divisors is an integer number (430844400).

Almost surely, 211869668920 is an apocalyptic number.

11869668920 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 11869668920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787020800).

11869668920 is an abundant number, since it is smaller than the sum of its proper divisors (15704372680).

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

11869668920 is a wasteful number, since it uses less digits than its factorization.

11869668920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57168 (or 57164 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 56.

The spelling of 11869668920 in words is "eleven billion, eight hundred sixty-nine million, six hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 127 164 205 254 328 410 508 635 820 1016 1270 1640 2540 5080 5207 10414 20828 26035 41656 52070 56989 104140 113978 208280 227956 284945 455912 569890 1139780 2279560 2336549 4673098 7237603 9346196 11682745 14475206 18692392 23365490 28950412 36188015 46730980 57900824 72376030 93461960 144752060 289504120 296741723 593483446 1186966892 1483708615 2373933784 2967417230 5934834460 11869668920