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5344488000 = 263353109227
BaseRepresentation
bin1001111101000111…
…00110101001000000
3111210110121010021000
410332203212221000
541421142104000
62242154532000
7246304253445
oct47643465100
914713533230
105344488000
1122a2907a35
121051a37000
13672334c47
14389b359cc
15214302000
hex13e8e6a40

5344488000 has 448 divisors, whose sum is σ = 19875398400. Its totient is φ = 1405900800.

The previous prime is 5344487987. The next prime is 5344488007. The reversal of 5344488000 is 8844435.

5344488000 is a `hidden beast` number, since 534 + 4 + 48 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5344488007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23543887 + ... + 23544113.

Almost surely, 25344488000 is an apocalyptic number.

5344488000 is a gapful number since it is divisible by the number (50) 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 5344488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937699200).

5344488000 is an abundant number, since it is smaller than the sum of its proper divisors (14530910400).

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

5344488000 is a wasteful number, since it uses less digits than its factorization.

5344488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5344488000 is about 73106.0052252891. The cubic root of 5344488000 is about 1748.3781436268.

The spelling of 5344488000 in words is "five billion, three hundred forty-four million, four hundred eighty-eight thousand".