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11818428408 = 2332376172727
BaseRepresentation
bin10110000000110111…
…01110011111111000
31010111122110100221200
423000123232133320
5143201004202113
65232421534200
7565604661333
oct130033563770
933448410850
1011818428408
115015216206
122359b74360
131164660507
1480187561a
15492856873
hex2c06ee7f8

11818428408 has 96 divisors (see below), whose sum is σ = 33412697760. Its totient is φ = 3770115840.

The previous prime is 11818428403. The next prime is 11818428421. The reversal of 11818428408 is 80482481811.

11818428408 is a `hidden beast` number, since 1 + 181 + 8 + 428 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11818428403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126141 + ... + 198867.

It is an arithmetic number, because the mean of its divisors is an integer number (348048935).

Almost surely, 211818428408 is an apocalyptic number.

11818428408 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 11818428408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706348880).

11818428408 is an abundant number, since it is smaller than the sum of its proper divisors (21594269352).

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

11818428408 is a wasteful number, since it uses less digits than its factorization.

11818428408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72837 (or 72830 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The spelling of 11818428408 in words is "eleven billion, eight hundred eighteen million, four hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 61 72 74 111 122 148 183 222 244 296 333 366 444 488 549 666 732 888 1098 1332 1464 2196 2257 2664 4392 4514 6771 9028 13542 18056 20313 27084 40626 54168 72727 81252 145454 162504 218181 290908 436362 581816 654543 872724 1309086 1745448 2618172 2690899 4436347 5236344 5381798 8072697 8872694 10763596 13309041 16145394 17745388 21527192 24218091 26618082 32290788 35490776 39927123 48436182 53236164 64581576 79854246 96872364 106472328 159708492 164144839 193744728 319416984 328289678 492434517 656579356 984869034 1313158712 1477303551 1969738068 2954607102 3939476136 5909214204 11818428408