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11055002400 = 25325213831423
BaseRepresentation
bin10100100101110110…
…11111001100100000
31001112102221022100100
422102323133030200
5140120040034100
65024551022400
7540644653461
oct122273371440
931472838310
1011055002400
114763295a22
12218636aa00
131072444950
1476c30ad68
1544a806400
hex292edf320

11055002400 has 432 divisors, whose sum is σ = 42517028736. Its totient is φ = 2686556160.

The previous prime is 11055002393. The next prime is 11055002407. The reversal of 11055002400 is 420055011.

11055002400 is a `hidden beast` number, since 110 + 550 + 0 + 2 + 4 + 0 + 0 = 666.

11055002400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11055002393) and next prime (11055002407).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11055002407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7768089 + ... + 7769511.

It is an arithmetic number, because the mean of its divisors is an integer number (98419048).

Almost surely, 211055002400 is an apocalyptic number.

11055002400 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 11055002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258514368).

11055002400 is an abundant number, since it is smaller than the sum of its proper divisors (31462026336).

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

11055002400 is a wasteful number, since it uses less digits than its factorization.

11055002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 11055002400 its reverse (420055011), we get a palindrome (11475057411).

The spelling of 11055002400 in words is "eleven billion, fifty-five million, two thousand, four hundred".