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5237144640 = 263357136661
BaseRepresentation
bin1001110000010100…
…00111110001000000
3111111222121111212000
410320022013301000
541211202112030
62223402104000
7243531665160
oct47012076100
914458544760
105237144640
112248260312
121021aab000
1365601cb70
143797925a0
15209b9b860
hex138287c40

5237144640 has 448 divisors, whose sum is σ = 22742469120. Its totient is φ = 1104814080.

The previous prime is 5237144603. The next prime is 5237144659. The reversal of 5237144640 is 464417325.

5237144640 is a `hidden beast` number, since 5 + 2 + 3 + 7 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 5237144595 and 5237144604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 782910 + ... + 789570.

It is an arithmetic number, because the mean of its divisors is an integer number (50764440).

Almost surely, 25237144640 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 5237144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371234560).

5237144640 is an abundant number, since it is smaller than the sum of its proper divisors (17505324480).

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

5237144640 is a wasteful number, since it uses less digits than its factorization.

5237144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707 (or 6691 counting only the distinct ones).

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

The square root of 5237144640 is about 72368.1189475034. The cubic root of 5237144640 is about 1736.5935733465.

The spelling of 5237144640 in words is "five billion, two hundred thirty-seven million, one hundred forty-four thousand, six hundred forty".