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11068395660 = 22345719471093
BaseRepresentation
bin10100100111011101…
…00101000010001100
31001120101010202110000
422103232211002030
5140132002130120
65030150044300
7541166545050
oct122356450214
931511122400
1011068395660
11476a903533
12218a949690
131075153b5a
1476ddd5c60
1544ba9e990
hex293ba508c

11068395660 has 480 divisors, whose sum is σ = 42698557440. Its totient is φ = 2343624192.

The previous prime is 11068395623. The next prime is 11068395661. The reversal of 11068395660 is 6659386011.

11068395660 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 83 + 9 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11068395661) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10126074 + ... + 10127166.

It is an arithmetic number, because the mean of its divisors is an integer number (88955328).

Almost surely, 211068395660 is an apocalyptic number.

11068395660 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 11068395660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349278720).

11068395660 is an abundant number, since it is smaller than the sum of its proper divisors (31630161780).

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

11068395660 is a wasteful number, since it uses less digits than its factorization.

11068395660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11068395660 in words is "eleven billion, sixty-eight million, three hundred ninety-five thousand, six hundred sixty".