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5505078528 = 283241101577
BaseRepresentation
bin1010010000010000…
…01101010100000000
3112012122202222001100
411020020031110000
542233300003103
62310132534400
7253264252425
oct51010152400
915178688040
105505078528
112375522a84
121097781400
136996a1421
143a31b9d4c
152234745a3
hex14820d500

5505078528 has 216 divisors, whose sum is σ = 16449077736. Its totient is φ = 1769472000.

The previous prime is 5505078493. The next prime is 5505078599. The reversal of 5505078528 is 8258705055.

5505078528 is a `hidden beast` number, since 5 + 5 + 0 + 50 + 78 + 528 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2583892224 + 2921186304 = 50832^2 + 54048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9540576 + ... + 9541152.

Almost surely, 25505078528 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 5505078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8224538868).

5505078528 is an abundant number, since it is smaller than the sum of its proper divisors (10943999208).

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

5505078528 is a wasteful number, since it uses less digits than its factorization.

5505078528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The square root of 5505078528 is about 74196.2163994903. The cubic root of 5505078528 is about 1765.7173027342.

The spelling of 5505078528 in words is "five billion, five hundred five million, seventy-eight thousand, five hundred twenty-eight".