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540064424250 = 2325313110916649
BaseRepresentation
bin1111101101111100101…
…10010010000100111010
31220122000000111100012100
413312332112102010322
532322022443034000
61052034022524230
754006204602061
oct7667626220472
91818000440170
10540064424250
1119904931941a
1288802596676
133bc0a668ca0
141c1d41a11d8
15e0ad0e3a00
hex7dbe59213a

540064424250 has 192 divisors, whose sum is σ = 1574180244000. Its totient is φ = 132811084800.

The previous prime is 540064424213. The next prime is 540064424281. The reversal of 540064424250 is 52424460045.

540064424250 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 644 + 2 + 4 + 2 + 5 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 169683853329 + 370380570921 = 411927^2 + 608589^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32429926 + ... + 32446574.

Almost surely, 2540064424250 is an apocalyptic number.

540064424250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540064424250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787090122000).

540064424250 is an abundant number, since it is smaller than the sum of its proper divisors (1034115819750).

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

540064424250 is a wasteful number, since it uses less digits than its factorization.

540064424250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17794 (or 17781 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 540064424250 its reverse (52424460045), we get a palindrome (592488884295).

The spelling of 540064424250 in words is "five hundred forty billion, sixty-four million, four hundred twenty-four thousand, two hundred fifty".