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5234019840 = 293257172383
BaseRepresentation
bin1001101111111100…
…01100111000000000
3111111202201202102200
410313332030320000
541204402113330
62223211113200
7243463302030
oct46776147000
914452652380
105234019840
112246516635
121020a42800
1365549777a
143791bb8c0
15209780a60
hex137f8ce00

5234019840 has 960 divisors, whose sum is σ = 23164517376. Its totient is φ = 1064042496.

The previous prime is 5234019829. The next prime is 5234019907. The reversal of 5234019840 is 489104325.

5234019840 is a `hidden beast` number, since 523 + 4 + 0 + 1 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 5234019795 and 5234019804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63060439 + ... + 63060521.

Almost surely, 25234019840 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 5234019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582258688).

5234019840 is an abundant number, since it is smaller than the sum of its proper divisors (17930497536).

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

5234019840 is a wasteful number, since it uses less digits than its factorization.

5234019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

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

The square root of 5234019840 is about 72346.5261087220. The cubic root of 5234019840 is about 1736.2481187403.

The spelling of 5234019840 in words is "five billion, two hundred thirty-four million, nineteen thousand, eight hundred forty".