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11055941820 = 223257112127571
BaseRepresentation
bin10100100101111110…
…00100100010111100
31001112111201000222200
422102333010202330
5140120310114240
65025023111500
7540655645350
oct122277044274
931474630880
1011055941820
114763877800
122186742590
1310726b3411
1476c4b3460
1544a93e930
hex292fc48bc

11055941820 has 432 divisors, whose sum is σ = 42534395904. Its totient is φ = 2275257600.

The previous prime is 11055941807. The next prime is 11055941873. The reversal of 11055941820 is 2814955011.

11055941820 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 (36).

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 143 ways as a sum of consecutive naturals, for example, 19362135 + ... + 19362705.

Almost surely, 211055941820 is an apocalyptic number.

11055941820 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 11055941820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21267197952).

11055941820 is an abundant number, since it is smaller than the sum of its proper divisors (31478454084).

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

11055941820 is a wasteful number, since it uses less digits than its factorization.

11055941820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 11055941820 in words is "eleven billion, fifty-five million, nine hundred forty-one thousand, eight hundred twenty".