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45352501740 = 2232572131753439
BaseRepresentation
bin101010001111001110…
…000100000111101100
311100001200201210112200
4222033032010013230
51220340220023430
632500141301500
73163606622100
oct521716040754
9140050653480
1045352501740
11182633398a7
128958564890
134379c61c60
1422a33cb900
1512a686d460
hexa8f3841ec

45352501740 has 864 divisors, whose sum is σ = 186343597440. Its totient is φ = 8815951872.

The previous prime is 45352501703. The next prime is 45352501787. The reversal of 45352501740 is 4710525354.

45352501740 is a `hidden beast` number, since 4 + 535 + 2 + 50 + 1 + 74 + 0 = 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 = 45352501695 and 45352501704.

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 287 ways as a sum of consecutive naturals, for example, 103308441 + ... + 103308879.

It is an arithmetic number, because the mean of its divisors is an integer number (215675460).

Almost surely, 245352501740 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 45352501740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93171798720).

45352501740 is an abundant number, since it is smaller than the sum of its proper divisors (140991095700).

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

45352501740 is a wasteful number, since it uses less digits than its factorization.

45352501740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 45352501740 in words is "forty-five billion, three hundred fifty-two million, five hundred one thousand, seven hundred forty".