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549401008128 = 2113727125703
BaseRepresentation
bin1111111111010101101…
…10100001100000000000
31221112002200220221111020
413333222312201200000
533000133124230003
61100220310145440
754456445342200
oct7775266414000
91845080827436
10549401008128
111a1aaa601045
128a589352280
133ca67a85a2b
141c83c190400
15e457b08d53
hex7feada1800

549401008128 has 288 divisors, whose sum is σ = 1727913358080. Its totient is φ = 154754826240.

The previous prime is 549401008081. The next prime is 549401008129. The reversal of 549401008128 is 821800104945.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 549401008128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549401008129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21362125 + ... + 21387827.

It is an arithmetic number, because the mean of its divisors is an integer number (5999699160).

Almost surely, 2549401008128 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 549401008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863956679040).

549401008128 is an abundant number, since it is smaller than the sum of its proper divisors (1178512349952).

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

549401008128 is a wasteful number, since it uses less digits than its factorization.

549401008128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25813 (or 25786 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 549401008128 in words is "five hundred forty-nine billion, four hundred one million, eight thousand, one hundred twenty-eight".