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5486310144 = 2835743293
BaseRepresentation
bin1010001110000001…
…00111001100000000
3112011100110102200000
411013000213030000
542213443411034
62304222400000
7252645603210
oct50700471400
915140412600
105486310144
112365974017
121091430000
1369582c783
143a08d2240
152219b8599
hex147027300

5486310144 has 432 divisors, whose sum is σ = 19249181952. Its totient is φ = 1525837824.

The previous prime is 5486310143. The next prime is 5486310191. The reversal of 5486310144 is 4410136845.

5486310144 is a `hidden beast` number, since 5 + 4 + 8 + 631 + 0 + 14 + 4 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 5486310099 and 5486310108.

It is not an unprimeable number, because it can be changed into a prime (5486310143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18724462 + ... + 18724754.

Almost surely, 25486310144 is an apocalyptic number.

5486310144 is a gapful number since it is divisible by the number (54) 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 5486310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624590976).

5486310144 is an abundant number, since it is smaller than the sum of its proper divisors (13762871808).

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

5486310144 is an equidigital number, since it uses as much as digits as its factorization.

5486310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5486310144 is about 74069.6303757485. The cubic root of 5486310144 is about 1763.7084066121.

Adding to 5486310144 its reverse (4410136845), we get a palindrome (9896446989).

The spelling of 5486310144 in words is "five billion, four hundred eighty-six million, three hundred ten thousand, one hundred forty-four".