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11412408744 = 233211291313793
BaseRepresentation
bin10101010000011101…
…11000100110101000
31002110100110102200100
422220032320212220
5141333034034434
65124235305400
7552544605462
oct125016704650
932410412610
1011412408744
114927009670
122265bab260
1310cb4c1ca9
147a3985132
1546bda4699
hex2a83b89a8

11412408744 has 192 divisors, whose sum is σ = 35156721600. Its totient is φ = 3312691200.

The previous prime is 11412408743. The next prime is 11412408757. The reversal of 11412408744 is 44780421411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11412408699 and 11412408708.

It is not an unprimeable number, because it can be changed into a prime (11412408743) 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, 3006912 + ... + 3010704.

It is an arithmetic number, because the mean of its divisors is an integer number (183107925).

Almost surely, 211412408744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11412408744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17578360800).

11412408744 is an abundant number, since it is smaller than the sum of its proper divisors (23744312856).

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

11412408744 is a wasteful number, since it uses less digits than its factorization.

11412408744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 11412408744 in words is "eleven billion, four hundred twelve million, four hundred eight thousand, seven hundred forty-four".