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5546227680 = 253357319197
BaseRepresentation
bin1010010101001010…
…01011011111100000
3112022112012120002000
411022211023133200
542324313241210
62314202524000
7254304105000
oct51245133740
915275176060
105546227680
112396778a44
1210a9506600
136a507b036
143a884c000
15226da1ac0
hex14a94b7e0

5546227680 has 768 divisors, whose sum is σ = 23950080000. Its totient is φ = 1194891264.

The previous prime is 5546227651. The next prime is 5546227697. The reversal of 5546227680 is 867226455.

5546227680 is a `hidden beast` number, since 5 + 546 + 2 + 27 + 6 + 80 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28153342 + ... + 28153538.

It is an arithmetic number, because the mean of its divisors is an integer number (31185000).

Almost surely, 25546227680 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 5546227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040000).

5546227680 is an abundant number, since it is smaller than the sum of its proper divisors (18403852320).

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

5546227680 is a wasteful number, since it uses less digits than its factorization.

5546227680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5546227680 is about 74472.9996710217. Note that the first 3 decimals coincide. The cubic root of 5546227680 is about 1770.1058253303.

The spelling of 5546227680 in words is "five billion, five hundred forty-six million, two hundred twenty-seven thousand, six hundred eighty".