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5618543040 = 2632511223701
BaseRepresentation
bin1010011101110010…
…00010100111000000
3112111120021120002200
411032321002213000
543001321334130
62325304513200
7256142553645
oct51671024700
915446246080
105618543040
112423580600
12110977b800
136b704a6a6
143b42b3dcc
1522d3d8760
hex14ee429c0

5618543040 has 504 divisors, whose sum is σ = 22197206304. Its totient is φ = 1300992000.

The previous prime is 5618543011. The next prime is 5618543059. The reversal of 5618543040 is 403458165.

It is a happy number.

5618543040 is a `hidden beast` number, since 5 + 6 + 185 + 430 + 40 = 666.

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 = 5618542986 and 5618543004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8014690 + ... + 8015390.

It is an arithmetic number, because the mean of its divisors is an integer number (44042076).

Almost surely, 25618543040 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 5618543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098603152).

5618543040 is an abundant number, since it is smaller than the sum of its proper divisors (16578663264).

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

5618543040 is a wasteful number, since it uses less digits than its factorization.

5618543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5618543040 is about 74956.9412396210. The cubic root of 5618543040 is about 1777.7658963558.

It can be divided in two parts, 56185 and 43040, that added together give a square (99225 = 3152).

The spelling of 5618543040 in words is "five billion, six hundred eighteen million, five hundred forty-three thousand, forty".