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5505656832 = 21135132337
BaseRepresentation
bin1010010000010100…
…11010100000000000
3112012200212100100000
411020022122200000
542233422004312
62310153200000
7253302211434
oct51012324000
915180770300
105505656832
112375888515
121097a00000
13699844710
143a32ca9c4
1522353aadc
hex14829a800

5505656832 has 576 divisors, whose sum is σ = 19031725440. Its totient is φ = 1576599552.

The previous prime is 5505656831. The next prime is 5505656879. The reversal of 5505656832 is 2386565055.

5505656832 is a `hidden beast` number, since 5 + 5 + 0 + 56 + 568 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (5505656831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148801518 + ... + 148801554.

It is an arithmetic number, because the mean of its divisors is an integer number (33041190).

Almost surely, 25505656832 is an apocalyptic number.

5505656832 is a gapful number since it is divisible by the number (52) 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 5505656832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515862720).

5505656832 is an abundant number, since it is smaller than the sum of its proper divisors (13526068608).

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

5505656832 is a wasteful number, since it uses less digits than its factorization.

5505656832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 5505656832 is about 74200.1134230939. The cubic root of 5505656832 is about 1765.7791296225.

The spelling of 5505656832 in words is "five billion, five hundred five million, six hundred fifty-six thousand, eight hundred thirty-two".