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5494132800 = 263552131087
BaseRepresentation
bin1010001110111100…
…11101000001000000
3112011220011212100000
411013132131001000
542222444222200
62305102200000
7253102233612
oct50736350100
915156155300
105494132800
11236a327322
121093b83000
1369733b270
143a196adb2
15222511300
hex14779d040

5494132800 has 504 divisors, whose sum is σ = 21828491776. Its totient is φ = 1351157760.

The previous prime is 5494132757. The next prime is 5494132817. The reversal of 5494132800 is 82314945.

5494132800 is a `hidden beast` number, since 549 + 4 + 1 + 32 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5053857 + ... + 5054943.

Almost surely, 25494132800 is an apocalyptic number.

5494132800 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 5494132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10914245888).

5494132800 is an abundant number, since it is smaller than the sum of its proper divisors (16334358976).

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

5494132800 is a wasteful number, since it uses less digits than its factorization.

5494132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1110 counting only the distinct ones).

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

The square root of 5494132800 is about 74122.4176615955. The cubic root of 5494132800 is about 1764.5462697992.

The spelling of 5494132800 in words is "five billion, four hundred ninety-four million, one hundred thirty-two thousand, eight hundred".