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11246988480 = 2635713314153
BaseRepresentation
bin10100111100101111…
…10110110011000000
31002000211012012201220
422132113312303000
5141013212112410
65100005555040
7545465552610
oct123627666300
932024165656
1011246988480
1148516a4a02
12221a715a80
1310a3154390
14789a04a40
1545c5cb070
hex29e5f6cc0

11246988480 has 448 divisors, whose sum is σ = 45378428928. Its totient is φ = 2295889920.

The previous prime is 11246988413. The next prime is 11246988491. The reversal of 11246988480 is 8488964211.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2706084 + ... + 2710236.

It is an arithmetic number, because the mean of its divisors is an integer number (101291136).

Almost surely, 211246988480 is an apocalyptic number.

11246988480 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 11246988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22689214464).

11246988480 is an abundant number, since it is smaller than the sum of its proper divisors (34131440448).

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

11246988480 is a wasteful number, since it uses less digits than its factorization.

11246988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 11246988480 in words is "eleven billion, two hundred forty-six million, nine hundred eighty-eight thousand, four hundred eighty".