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11425146480 = 24325111784857
BaseRepresentation
bin10101010001111110…
…11110011001110000
31002111020102120120100
422220333132121300
5141344314141410
65125412312400
7553061066646
oct125077363160
932436376510
1011425146480
114933219720
12226a312700
131101031a07
147a553d196
1546d06d8c0
hex2a8fde670

11425146480 has 240 divisors, whose sum is σ = 44320315104. Its totient is φ = 2606776320.

The previous prime is 11425146377. The next prime is 11425146487. The reversal of 11425146480 is 8464152411.

11425146480 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 1 + 4 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11425146487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92212 + ... + 177068.

Almost surely, 211425146480 is an apocalyptic number.

11425146480 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 11425146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160157552).

11425146480 is an abundant number, since it is smaller than the sum of its proper divisors (32895168624).

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

11425146480 is a wasteful number, since it uses less digits than its factorization.

11425146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84904 (or 84895 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 11425146480 its reverse (8464152411), we get a palindrome (19889298891).

The spelling of 11425146480 in words is "eleven billion, four hundred twenty-five million, one hundred forty-six thousand, four hundred eighty".