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10555424000 = 285311157191
BaseRepresentation
bin10011101010010011…
…01111110100000000
31000020121220002121122
421311021233310000
5133104142032000
64503223211412
7522400423622
oct116511576400
930217802548
1010555424000
114527297310
122066ba6b68
13cc2aa9724
14721c24c12
1541ba23085
hex27526fd00

10555424000 has 288 divisors, whose sum is σ = 29019174912. Its totient is φ = 3793920000.

The previous prime is 10555423943. The next prime is 10555424029. The reversal of 10555424000 is 42455501.

It is a super-2 number, since 2×105554240002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55263905 + ... + 55264095.

It is an arithmetic number, because the mean of its divisors is an integer number (100761024).

Almost surely, 210555424000 is an apocalyptic number.

10555424000 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 10555424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509587456).

10555424000 is an abundant number, since it is smaller than the sum of its proper divisors (18463750912).

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

10555424000 is a wasteful number, since it uses less digits than its factorization.

10555424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

Adding to 10555424000 its reverse (42455501), we get a palindrome (10597879501).

The spelling of 10555424000 in words is "ten billion, five hundred fifty-five million, four hundred twenty-four thousand".