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11050115076 = 2232711131916139
BaseRepresentation
bin10100100101010001…
…10110000000000100
31001112002202000012100
422102220312000010
5140112312140301
65024254152100
7540555266640
oct122250660004
931462660170
1011050115076
114760558010
1221847b2630
131071423240
1476b7d7c20
1544a18d286
hex292a36004

11050115076 has 288 divisors, whose sum is σ = 39479731200. Its totient is φ = 2509781760.

The previous prime is 11050114993. The next prime is 11050115081. The reversal of 11050115076 is 67051105011.

It is a happy number.

11050115076 is a `hidden beast` number, since 1 + 1 + 0 + 501 + 150 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 676615 + ... + 692753.

It is an arithmetic number, because the mean of its divisors is an integer number (137082400).

Almost surely, 211050115076 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 11050115076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19739865600).

11050115076 is an abundant number, since it is smaller than the sum of its proper divisors (28429616124).

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

11050115076 is a wasteful number, since it uses less digits than its factorization.

11050115076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16199 (or 16194 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 11050115076 in words is "eleven billion, fifty million, one hundred fifteen thousand, seventy-six".