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11133498688 = 2613127105367
BaseRepresentation
bin10100101111001101…
…11011010101000000
31001201220122100000021
422113212323111000
5140300133424223
65040433303224
7542620114564
oct122746732500
931656570007
1011133498688
1147a362a394
1221a8704b14
131085799760
147789016a4
1545265e65d
hex2979bb540

11133498688 has 56 divisors (see below), whose sum is σ = 23980070912. Its totient is φ = 5098028544.

The previous prime is 11133498683. The next prime is 11133498731. The reversal of 11133498688 is 88689433111.

11133498688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11133498683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 52981 + ... + 158347.

It is an arithmetic number, because the mean of its divisors is an integer number (428215552).

Almost surely, 211133498688 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 11133498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990035456).

11133498688 is an abundant number, since it is smaller than the sum of its proper divisors (12846572224).

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

11133498688 is a wasteful number, since it uses less digits than its factorization.

11133498688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105519 (or 105509 counting only the distinct ones).

The product of its digits is 995328, while the sum is 52.

The spelling of 11133498688 in words is "eleven billion, one hundred thirty-three million, four hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 208 254 416 508 832 1016 1651 2032 3302 4064 6604 8128 13208 26416 52832 105367 105664 210734 421468 842936 1369771 1685872 2739542 3371744 5479084 6743488 10958168 13381609 21916336 26763218 43832672 53526436 87665344 107052872 173960917 214105744 347921834 428211488 695843668 856422976 1391687336 2783374672 5566749344 11133498688