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14545084050 = 2325272701941
BaseRepresentation
bin11011000101111010…
…00101111010010010
31101112200010211022200
431202331011322102
5214242020142200
610403143344030
71023304113600
oct154275057222
941480124280
1014545084050
116194358a22
12299b152016
1314aa51a913
149bda46870
155a1e04800
hex362f45e92

14545084050 has 216 divisors, whose sum is σ = 45571064292. Its totient is φ = 3316320000.

The previous prime is 14545084039. The next prime is 14545084123. The reversal of 14545084050 is 5048054541.

It is a happy number.

14545084050 is a `hidden beast` number, since 14 + 54 + 508 + 40 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9021770289 + 5523313761 = 94983^2 + 74319^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14545083996 and 14545084014.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15456580 + ... + 15457520.

Almost surely, 214545084050 is an apocalyptic number.

14545084050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14545084050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785532146).

14545084050 is an abundant number, since it is smaller than the sum of its proper divisors (31025980242).

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

14545084050 is a wasteful number, since it uses less digits than its factorization.

14545084050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 14545084050 in words is "fourteen billion, five hundred forty-five million, eighty-four thousand, fifty".