Search a number
-
+
5565018816 = 26357173197
BaseRepresentation
bin1010010111011001…
…10111001011000000
3112100211120020200000
411023230313023000
542344121100231
62320113400000
7254622610440
oct51354671300
915324506600
105565018816
1123a6343005
1210b3869000
136a8c2a156
143ab140120
152288646e6
hex14bb372c0

5565018816 has 672 divisors, whose sum is σ = 20875825152. Its totient is φ = 1433272320.

The previous prime is 5565018793. The next prime is 5565018817. The reversal of 5565018816 is 6188105655.

5565018816 is a `hidden beast` number, since 5 + 56 + 501 + 88 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5565018817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57371280 + ... + 57371376.

It is an arithmetic number, because the mean of its divisors is an integer number (31065216).

Almost surely, 25565018816 is an apocalyptic number.

5565018816 is a gapful number since it is divisible by the number (56) 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 5565018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437912576).

5565018816 is an abundant number, since it is smaller than the sum of its proper divisors (15310806336).

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

5565018816 is a wasteful number, since it uses less digits than its factorization.

5565018816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 5565018816 is about 74599.0537205399. The cubic root of 5565018816 is about 1772.1026663370.

The spelling of 5565018816 in words is "five billion, five hundred sixty-five million, eighteen thousand, eight hundred sixteen".