Search a number
-
+
11121474535288 = 23131914915711997
BaseRepresentation
bin1010000111010110101110…
…0010011111111101111000
31110101012110200102102221221
42201311223202133331320
52424203234440112123
635353045044241424
72225333335534405
oct241655342377570
943335420372857
1011121474535288
1135a8655491237
1212b74bb3a0274
1362899ac55ac0
142a63d46732ac
15144465d2925d
hexa1d6b89ff78

11121474535288 has 128 divisors (see below), whose sum is σ = 22671337328640. Its totient is φ = 5084243136000.

The previous prime is 11121474535273. The next prime is 11121474535289. The reversal of 11121474535288 is 88253547412111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121474535289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5569089906 + ... + 5569091902.

It is an arithmetic number, because the mean of its divisors is an integer number (177119822880).

Almost surely, 211121474535288 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 11121474535288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335668664320).

11121474535288 is an abundant number, since it is smaller than the sum of its proper divisors (11549862793352).

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

11121474535288 is a wasteful number, since it uses less digits than its factorization.

11121474535288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3265 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 52.

The spelling of 11121474535288 in words is "eleven trillion, one hundred twenty-one billion, four hundred seventy-four million, five hundred thirty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 104 191 382 491 571 764 982 1142 1528 1964 1997 2284 2483 3928 3994 4568 4966 6383 7423 7988 9932 12766 14846 15976 19864 25532 25961 29692 51064 51922 59384 93781 103844 109061 187562 207688 218122 280361 375124 381427 436244 560722 750248 762854 872488 980527 1121444 1140287 1219153 1417793 1525708 1961054 2242888 2280574 2438306 2835586 3051416 3644693 3922108 4561148 4876612 4958551 5671172 7289386 7844216 9122296 9753224 9917102 11342344 12746851 14578772 14823731 19834204 25493702 29157544 29647462 39668408 50987404 53548951 59294924 101974808 107097902 118589848 187280657 214195804 217794817 374561314 428391608 435589634 559880917 696136363 749122628 871179268 1119761834 1392272726 1498245256 1742358536 2239523668 2434648541 2784545452 2831332621 4479047336 4869297082 5569090904 5662665242 7278451921 9738594164 11325330484 14556903842 19477188328 22650660968 29113807684 58227615368 106937255147 213874510294 427749020588 855498041176 1390184316911 2780368633822 5560737267644 11121474535288