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11064351168 = 263413198641
BaseRepresentation
bin10100100110111110…
…01001100111000000
31001120002112021110000
422103133021213000
5140124433214133
65025523240000
7541120301403
oct122337114700
931502467400
1011064351168
1147685a0882
122189519000
131074368c70
1476d661d3a
1544b551413
hex2937c99c0

11064351168 has 280 divisors, whose sum is σ = 37184451920. Its totient is φ = 3224862720.

The previous prime is 11064351161. The next prime is 11064351223. The reversal of 11064351168 is 86115346011.

It is a happy number.

11064351168 is a `hidden beast` number, since 1 + 1 + 0 + 643 + 5 + 1 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11064351161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1276128 + ... + 1284768.

It is an arithmetic number, because the mean of its divisors is an integer number (132801614).

Almost surely, 211064351168 is an apocalyptic number.

11064351168 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 11064351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592225960).

11064351168 is an abundant number, since it is smaller than the sum of its proper divisors (26120100752).

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

11064351168 is a wasteful number, since it uses less digits than its factorization.

11064351168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8697 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 11064351168 its reverse (86115346011), we get a palindrome (97179697179).

The spelling of 11064351168 in words is "eleven billion, sixty-four million, three hundred fifty-one thousand, one hundred sixty-eight".