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5637421440 = 273257236079
BaseRepresentation
bin1010100000000010…
…00011100110000000
3112112212210200101200
411100001003212000
543021134441230
62331221301200
7256462202010
oct52001034600
915485720350
105637421440
1124331a5192
121113b64800
136bac2a441
143b69c9c40
1522edb7160
hex150043980

5637421440 has 384 divisors, whose sum is σ = 23218790400. Its totient is φ = 1232326656.

The previous prime is 5637421421. The next prime is 5637421453. The reversal of 5637421440 is 441247365.

5637421440 is a `hidden beast` number, since 5 + 637 + 4 + 2 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 5637421395 and 5637421404.

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, 924321 + ... + 930399.

It is an arithmetic number, because the mean of its divisors is an integer number (60465600).

Almost surely, 25637421440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5637421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609395200).

5637421440 is an abundant number, since it is smaller than the sum of its proper divisors (17581368960).

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

5637421440 is a wasteful number, since it uses less digits than its factorization.

5637421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5637421440 is about 75082.7639342080. The cubic root of 5637421440 is about 1779.7547783214.

The spelling of 5637421440 in words is "five billion, six hundred thirty-seven million, four hundred twenty-one thousand, four hundred forty".