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5331363840 = 211335111753
BaseRepresentation
bin1001111011100011…
…00010100000000000
3111202112220100022000
410331301202200000
541404312120330
62241005344000
7246054562545
oct47561424000
914675810260
105331363840
112296463620
121049568000
1366c6bb37a
143880babcc
152130ad560
hex13dc62800

5331363840 has 384 divisors, whose sum is σ = 20685974400. Its totient is φ = 1291714560.

The previous prime is 5331363823. The next prime is 5331363847. The reversal of 5331363840 is 483631335.

5331363840 is a `hidden beast` number, since 5 + 3 + 3 + 13 + 638 + 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 = 5331363795 and 5331363804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5331363847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040404 + ... + 3042156.

It is an arithmetic number, because the mean of its divisors is an integer number (53869725).

Almost surely, 25331363840 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 5331363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342987200).

5331363840 is an abundant number, since it is smaller than the sum of its proper divisors (15354610560).

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

5331363840 is a wasteful number, since it uses less digits than its factorization.

5331363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5331363840 is about 73016.1888898620. The cubic root of 5331363840 is about 1746.9458391316.

The spelling of 5331363840 in words is "five billion, three hundred thirty-one million, three hundred sixty-three thousand, eight hundred forty".