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5412934800 = 24325271323141
BaseRepresentation
bin1010000101010001…
…01101010010010000
3111222020101120121200
411002220231102100
542041202403200
62253041551200
7251065121010
oct50250552220
914866346550
105412934800
112328508039
121070945500
1368357b800
14394c71c40
1521a322800
hex142a2d490

5412934800 has 1080 divisors, whose sum is σ = 24581426688. Its totient is φ = 1078272000.

The previous prime is 5412934799. The next prime is 5412934811. The reversal of 5412934800 is 84392145.

5412934800 is a `hidden beast` number, since 54 + 129 + 3 + 480 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 132022780 + ... + 132022820.

Almost surely, 25412934800 is an apocalyptic number.

5412934800 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 5412934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290713344).

5412934800 is an abundant number, since it is smaller than the sum of its proper divisors (19168491888).

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

5412934800 is a wasteful number, since it uses less digits than its factorization.

5412934800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5412934800 is about 73572.6498095590. The cubic root of 5412934800 is about 1755.8103253843.

The spelling of 5412934800 in words is "five billion, four hundred twelve million, nine hundred thirty-four thousand, eight hundred".