Search a number
-
+
10553063400 = 23335211231521
BaseRepresentation
bin10011101010000001…
…01111011111101000
31000020110110011111000
421311000233133220
5133103041012100
64503100435000
7522341362455
oct116500573750
930213404430
1010553063400
114525a24800
122066248a60
13cc2461119
147217ac82c
1541b708900
hex27502f7e8

10553063400 has 576 divisors, whose sum is σ = 41322355200. Its totient is φ = 2471040000.

The previous prime is 10553063383. The next prime is 10553063459. The reversal of 10553063400 is 436035501.

10553063400 is a `hidden beast` number, since 10 + 5 + 5 + 306 + 340 + 0 = 666.

It is a super-2 number, since 2×105530634002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20255140 + ... + 20255660.

It is an arithmetic number, because the mean of its divisors is an integer number (71740200).

Almost surely, 210553063400 is an apocalyptic number.

10553063400 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 10553063400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20661177600).

10553063400 is an abundant number, since it is smaller than the sum of its proper divisors (30769291800).

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

10553063400 is a wasteful number, since it uses less digits than its factorization.

10553063400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10553063400 its reverse (436035501), we get a palindrome (10989098901).

The spelling of 10553063400 in words is "ten billion, five hundred fifty-three million, sixty-three thousand, four hundred".