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11046603420 = 22345191911879
BaseRepresentation
bin10100100100110110…
…11100101010011100
31001111212010121010000
422102123130222130
5140110412302140
65024051014300
7540513402606
oct122233345234
931455117100
1011046603420
114759579716
12218359a390
131070793a38
1476b162176
15449be7a30
hex2926dca9c

11046603420 has 240 divisors, whose sum is σ = 36687974400. Its totient is φ = 2774632320.

The previous prime is 11046603409. The next prime is 11046603433. The reversal of 11046603420 is 2430664011.

11046603420 is a `hidden beast` number, since 1 + 10 + 4 + 6 + 603 + 42 + 0 = 666.

11046603420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5878041 + ... + 5879919.

It is an arithmetic number, because the mean of its divisors is an integer number (152866560).

Almost surely, 211046603420 is an apocalyptic number.

11046603420 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 11046603420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343987200).

11046603420 is an abundant number, since it is smaller than the sum of its proper divisors (25641370980).

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

11046603420 is a wasteful number, since it uses less digits than its factorization.

11046603420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 11046603420 in words is "eleven billion, forty-six million, six hundred three thousand, four hundred twenty".