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11412430848 = 213377213
BaseRepresentation
bin10101010000011101…
…11110000000000000
31002110100111120000000
422220032332000000
5141333040241343
65124240000000
7552545030100
oct125016760000
932410446000
1011412430848
114927024235
122266000000
1310cb4cc080
147a398d200
1546bdaaed3
hex2a83be000

11412430848 has 672 divisors, whose sum is σ = 42881519520. Its totient is φ = 3009871872.

The previous prime is 11412430847. The next prime is 11412430853. The reversal of 11412430848 is 84803421411.

It is a happy number.

11412430848 is a `hidden beast` number, since 1 + 141 + 2 + 430 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412430847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877879290 + ... + 877879302.

It is an arithmetic number, because the mean of its divisors is an integer number (63811785).

Almost surely, 211412430848 is an apocalyptic number.

11412430848 is a gapful number since it is divisible by the number (18) 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 11412430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21440759760).

11412430848 is an abundant number, since it is smaller than the sum of its proper divisors (31469088672).

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

11412430848 is an frugal number, since it uses more digits than its factorization.

11412430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11412430848 in words is "eleven billion, four hundred twelve million, four hundred thirty thousand, eight hundred forty-eight".