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11732806220 = 22531103269683
BaseRepresentation
bin10101110110101010…
…00110101001001100
31010021200100022101112
422323111012221030
5143012044244340
65220122431152
7563515131062
oct127325065114
933250308345
1011732806220
114a80954a73
1223353624b8
13114c9b20b5
147d4348032
1548a092065
hex2bb546a4c

11732806220 has 96 divisors (see below), whose sum is σ = 25813831680. Its totient is φ = 4474356480.

The previous prime is 11732806201. The next prime is 11732806243. The reversal of 11732806220 is 2260823711.

11732806220 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 31 ways as a sum of consecutive naturals, for example, 17177999 + ... + 17178681.

It is an arithmetic number, because the mean of its divisors is an integer number (268894080).

Almost surely, 211732806220 is an apocalyptic number.

11732806220 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 11732806220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906915840).

11732806220 is an abundant number, since it is smaller than the sum of its proper divisors (14081025460).

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

11732806220 is a wasteful number, since it uses less digits than its factorization.

11732806220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 11732806220 in words is "eleven billion, seven hundred thirty-two million, eight hundred six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 103 124 155 206 269 310 412 515 538 620 683 1030 1076 1345 1366 2060 2690 2732 3193 3415 5380 6386 6830 8339 12772 13660 15965 16678 21173 27707 31930 33356 41695 42346 55414 63860 70349 83390 84692 105865 110828 138535 140698 166780 183727 211730 277070 281396 351745 367454 423460 554140 703490 734908 858917 918635 1406980 1717834 1837270 2180819 3435668 3674540 4294585 4361638 5695537 8589170 8723276 10904095 11391074 17178340 18923881 21808190 22782148 28477685 37847762 43616380 56955370 75695524 94619405 113910740 189238810 378477620 586640311 1173280622 2346561244 2933201555 5866403110 11732806220