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5493734400 = 210352711929
BaseRepresentation
bin1010001110111001…
…11011110000000000
3112011212102121211110
411013130323300000
542222344000100
62305045443320
7253065654240
oct50734736000
915155377743
105493734400
11236a084a70
121093a10540
1369722bb1b
143a18a5b20
15222483250
hex14773bc00

5493734400 has 528 divisors, whose sum is σ = 22661763840. Its totient is φ = 1140326400.

The previous prime is 5493734303. The next prime is 5493734419. The reversal of 5493734400 is 44373945.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×54937344002 = 60362235315486720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5913136 + ... + 5914064.

Almost surely, 25493734400 is an apocalyptic number.

5493734400 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 5493734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330881920).

5493734400 is an abundant number, since it is smaller than the sum of its proper divisors (17168029440).

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

5493734400 is a wasteful number, since it uses less digits than its factorization.

5493734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 5493734400 is about 74119.7301668051. The cubic root of 5493734400 is about 1764.5036174977.

The spelling of 5493734400 in words is "five billion, four hundred ninety-three million, seven hundred thirty-four thousand, four hundred".