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45386459040 = 253513113191337
BaseRepresentation
bin101010010001001111…
…100110011110100000
311100011001122000012110
4222101033212132200
51220422413142130
632503353155320
73164501352006
oct522117463640
9140131560173
1045386459040
111828052248a
1289679bbb40
134383cc1230
1422a7b0aa76
1512a9829ab0
hexa913e67a0

45386459040 has 384 divisors, whose sum is σ = 156603912192. Its totient is φ = 10982522880.

The previous prime is 45386459033. The next prime is 45386459051. The reversal of 45386459040 is 4095468354.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134677752 + ... + 134678088.

It is an arithmetic number, because the mean of its divisors is an integer number (407822688).

Almost surely, 245386459040 is an apocalyptic number.

45386459040 is a gapful number since it is divisible by the number (40) 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 45386459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78301956096).

45386459040 is an abundant number, since it is smaller than the sum of its proper divisors (111217453152).

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

45386459040 is a wasteful number, since it uses less digits than its factorization.

45386459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 45386459040 in words is "forty-five billion, three hundred eighty-six million, four hundred fifty-nine thousand, forty".