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40575483648 = 2832722711083
BaseRepresentation
bin100101110010011111…
…001011111100000000
310212201202221010122200
4211302133023330000
51131044310434043
630350133233200
72634332630460
oct456237137400
9125652833580
1040575483648
1116231891467
127a44792800
133a9837612b
141d6cbb1ba0
1510c72b07d3
hex9727cbf00

40575483648 has 216 divisors, whose sum is σ = 134302965888. Its totient is φ = 11540883456.

The previous prime is 40575483583. The next prime is 40575483677. The reversal of 40575483648 is 84638457504.

It is a happy number.

40575483648 is a `hidden beast` number, since 4 + 0 + 57 + 548 + 3 + 6 + 48 = 666.

40575483648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40575483594 and 40575483603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3655515 + ... + 3666597.

Almost surely, 240575483648 is an apocalyptic number.

40575483648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40575483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67151482944).

40575483648 is an abundant number, since it is smaller than the sum of its proper divisors (93727482240).

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

40575483648 is a wasteful number, since it uses less digits than its factorization.

40575483648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11339 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 40575483648 in words is "forty billion, five hundred seventy-five million, four hundred eighty-three thousand, six hundred forty-eight".