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45503659008 = 210351731347
BaseRepresentation
bin101010011000001110…
…101011110000000000
311100110020011101100000
4222120032223300000
51221142414042013
632523141200000
73200423501613
oct523016536000
9140406141300
1045503659008
11183306a1565
12899b100000
1343a2377822
1422b94d817a
1512b4c7a973
hexa983abc00

45503659008 has 528 divisors, whose sum is σ = 149355408384. Its totient is φ = 13775339520.

The previous prime is 45503659001. The next prime is 45503659027. The reversal of 45503659008 is 80095630554.

45503659008 is a `hidden beast` number, since 4 + 5 + 50 + 3 + 6 + 590 + 0 + 8 = 666.

It is a super-3 number, since 3×455036590083 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45503659001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131134291 + ... + 131134637.

Almost surely, 245503659008 is an apocalyptic number.

45503659008 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 45503659008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74677704192).

45503659008 is an abundant number, since it is smaller than the sum of its proper divisors (103851749376).

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

45503659008 is a wasteful number, since it uses less digits than its factorization.

45503659008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 45503659008 in words is "forty-five billion, five hundred three million, six hundred fifty-nine thousand, eight".