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5703853680 = 2433573143283
BaseRepresentation
bin1010100111111100…
…11110011001110000
3112201111210210022000
411103332132121300
543140141304210
62341553214000
7261226646010
oct52376363160
915644723260
105703853680
112467749768
121132261300
136cb91a065
143c175dc40
15235b3aac0
hex153f9e670

5703853680 has 640 divisors, whose sum is σ = 23800381440. Its totient is φ = 1227985920.

The previous prime is 5703853667. The next prime is 5703853717. The reversal of 5703853680 is 863583075.

5703853680 is a `hidden beast` number, since 5 + 7 + 0 + 38 + 536 + 80 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20154819 + ... + 20155101.

It is an arithmetic number, because the mean of its divisors is an integer number (37188096).

Almost surely, 25703853680 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 5703853680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900190720).

5703853680 is an abundant number, since it is smaller than the sum of its proper divisors (18096527760).

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

5703853680 is a wasteful number, since it uses less digits than its factorization.

5703853680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5703853680 is about 75523.8616597430. The cubic root of 5703853680 is about 1786.7184636972.

The spelling of 5703853680 in words is "five billion, seven hundred three million, eight hundred fifty-three thousand, six hundred eighty".