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11216848104 = 2332711323727
BaseRepresentation
bin10100111001001001…
…11000010011101000
31001221201110220220200
422130210320103220
5140433003114404
65053011552200
7544651431030
oct123444702350
931851426820
1011216848104
114836689000
1222105bb660
131099b30537
147859da8c0
15459b25839
hex29c9384e8

11216848104 has 384 divisors, whose sum is σ = 39903252480. Its totient is φ = 2782961280.

The previous prime is 11216848057. The next prime is 11216848117. The reversal of 11216848104 is 40184861211.

11216848104 is a `hidden beast` number, since 1 + 12 + 168 + 481 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15428589 + ... + 15429315.

It is an arithmetic number, because the mean of its divisors is an integer number (103914720).

Almost surely, 211216848104 is an apocalyptic number.

11216848104 is a gapful number since it is divisible by the number (14) 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 11216848104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951626240).

11216848104 is an abundant number, since it is smaller than the sum of its proper divisors (28686404376).

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

11216848104 is a wasteful number, since it uses less digits than its factorization.

11216848104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11216848104 in words is "eleven billion, two hundred sixteen million, eight hundred forty-eight thousand, one hundred four".