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10533550440 = 23357103211577
BaseRepresentation
bin10011100111101100…
…10011100101101000
31000012002201210201210
421303312103211220
5133033042103230
64501122313120
7522013462410
oct116366234550
930162653653
1010533550440
114515a07396
12205b7b87a0
13cbb3bb5aa
1471cd6d640
15419b51eb0
hex273d93968

10533550440 has 256 divisors, whose sum is σ = 36701982720. Its totient is φ = 2368880640.

The previous prime is 10533550397. The next prime is 10533550441. The reversal of 10533550440 is 4405533501.

It is a super-2 number, since 2×105335504402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10533550398 and 10533550407.

It is not an unprimeable number, because it can be changed into a prime (10533550441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18255432 + ... + 18256008.

It is an arithmetic number, because the mean of its divisors is an integer number (143367120).

Almost surely, 210533550440 is an apocalyptic number.

10533550440 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 10533550440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350991360).

10533550440 is an abundant number, since it is smaller than the sum of its proper divisors (26168432280).

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

10533550440 is a wasteful number, since it uses less digits than its factorization.

10533550440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 10533550440 in words is "ten billion, five hundred thirty-three million, five hundred fifty thousand, four hundred forty".