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5468783040 = 26365717197
BaseRepresentation
bin1010001011111011…
…10000000111000000
3112010010110222000000
411011331300013000
542200002024130
62302355000000
7252343613610
oct50575600700
915103428000
105468783040
112356a92706
121087599000
13692003ac6
1439c44ca40
152201a5260
hex145f701c0

5468783040 has 784 divisors, whose sum is σ = 23746675392. Its totient is φ = 1170505728.

The previous prime is 5468782999. The next prime is 5468783059. The reversal of 5468783040 is 403878645.

5468783040 is a `hidden beast` number, since 546 + 8 + 78 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27760222 + ... + 27760418.

Almost surely, 25468783040 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 5468783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873337696).

5468783040 is an abundant number, since it is smaller than the sum of its proper divisors (18277892352).

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

5468783040 is a wasteful number, since it uses less digits than its factorization.

5468783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5468783040 is about 73951.2206795804. The cubic root of 5468783040 is about 1761.8282310891.

The spelling of 5468783040 in words is "five billion, four hundred sixty-eight million, seven hundred eighty-three thousand, forty".