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5529980160 = 2835523773
BaseRepresentation
bin1010010011001110…
…01100110100000000
3112021101122002200000
411021213030310000
542311133331120
62312422400000
7254016025065
oct51147146400
915241562600
105529980160
112388590a41
1210a3b90000
136a18ac913
143a661cc6c
15225742990
hex1499ccd00

5529980160 has 432 divisors, whose sum is σ = 20731261824. Its totient is φ = 1408720896.

The previous prime is 5529980111. The next prime is 5529980173. The reversal of 5529980160 is 610899255.

5529980160 is a `hidden beast` number, since 552 + 9 + 9 + 80 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7153534 + ... + 7154306.

It is an arithmetic number, because the mean of its divisors is an integer number (47989032).

Almost surely, 25529980160 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 5529980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10365630912).

5529980160 is an abundant number, since it is smaller than the sum of its proper divisors (15201281664).

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

5529980160 is an equidigital number, since it uses as much as digits as its factorization.

5529980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5529980160 is about 74363.8363722583. The cubic root of 5529980160 is about 1768.3756427652.

The spelling of 5529980160 in words is "five billion, five hundred twenty-nine million, nine hundred eighty thousand, one hundred sixty".