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5663309400 = 233652731179
BaseRepresentation
bin1010100011000111…
…10011111001011000
3112121200111221000000
411101203303321120
543044301400100
62333544213000
7260225223060
oct52143637130
915550457000
105663309400
1124468771a1
12112076a160
136c33c2868
143ba2083a0
152322cc900
hex1518f3e58

5663309400 has 672 divisors, whose sum is σ = 23419929600. Its totient is φ = 1245715200.

The previous prime is 5663309383. The next prime is 5663309473. The reversal of 5663309400 is 49033665.

5663309400 is a `hidden beast` number, since 566 + 3 + 3 + 0 + 94 + 0 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 31638511 + ... + 31638689.

Almost surely, 25663309400 is an apocalyptic number.

5663309400 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 5663309400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709964800).

5663309400 is an abundant number, since it is smaller than the sum of its proper divisors (17756620200).

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

5663309400 is a wasteful number, since it uses less digits than its factorization.

5663309400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5663309400 is about 75254.9626270587. The cubic root of 5663309400 is about 1782.4749269803.

The spelling of 5663309400 in words is "five billion, six hundred sixty-three million, three hundred nine thousand, four hundred".