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11416243360 = 2554171127193
BaseRepresentation
bin10101010000111011…
…00000110010100000
31002110121200020210011
422220131200302200
5141340024241420
65124453414304
7552622316224
oct125035406240
932417606704
1011416243360
114929198675
12226733a394
1310cc2354b2
147a42a2784
1546c3b095a
hex2a8760ca0

11416243360 has 192 divisors, whose sum is σ = 28384763904. Its totient is φ = 4335206400.

The previous prime is 11416243337. The next prime is 11416243379. The reversal of 11416243360 is 6334261411.

It is a happy number.

It is a super-2 number, since 2×114162433602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59151424 + ... + 59151616.

It is an arithmetic number, because the mean of its divisors is an integer number (147837312).

Almost surely, 211416243360 is an apocalyptic number.

11416243360 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 11416243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192381952).

11416243360 is an abundant number, since it is smaller than the sum of its proper divisors (16968520544).

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

11416243360 is a wasteful number, since it uses less digits than its factorization.

11416243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 11416243360 in words is "eleven billion, four hundred sixteen million, two hundred forty-three thousand, three hundred sixty".