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545221211040 = 253251161564271
BaseRepresentation
bin1111110111100011011…
…01110111001110100000
31221010022101220020210200
413323301231313032200
532413103112223130
61054245434425200
754251042553642
oct7736155671640
91833271806720
10545221211040
111a0255183690
1289801592200
133c54cb3190c
141c562dd6892
15e2b0bba760
hex7ef1b773a0

545221211040 has 288 divisors, whose sum is σ = 2062987460352. Its totient is φ = 130007808000.

The previous prime is 545221211011. The next prime is 545221211111. The reversal of 545221211040 is 40112122545.

It is a happy number.

545221211040 is a `hidden beast` number, since 5 + 4 + 522 + 121 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 545221210995 and 545221211013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684105 + ... + 1248375.

It is an arithmetic number, because the mean of its divisors is an integer number (7163150904).

Almost surely, 2545221211040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545221211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031493730176).

545221211040 is an abundant number, since it is smaller than the sum of its proper divisors (1517766249312).

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

545221211040 is a wasteful number, since it uses less digits than its factorization.

545221211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564364 (or 564353 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 545221211040 its reverse (40112122545), we get a palindrome (585333333585).

The spelling of 545221211040 in words is "five hundred forty-five billion, two hundred twenty-one million, two hundred eleven thousand, forty".