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5703413760 = 212325112997
BaseRepresentation
bin1010100111111001…
…10011000000000000
3112201110222102211200
411103330303000000
543140033220020
62341535541200
7261223134312
oct52374630000
915643872750
105703413760
1124674791a0
12113208a800
136cb7c4a55
143c16877b2
15235aa0590
hex153f33000

5703413760 has 624 divisors, whose sum is σ = 22540321440. Its totient is φ = 1321205760.

The previous prime is 5703413719. The next prime is 5703413791. The reversal of 5703413760 is 673143075.

5703413760 is a `hidden beast` number, since 570 + 3 + 4 + 13 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58798032 + ... + 58798128.

It is an arithmetic number, because the mean of its divisors is an integer number (36122310).

Almost surely, 25703413760 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 5703413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270160720).

5703413760 is an abundant number, since it is smaller than the sum of its proper divisors (16836907680).

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

5703413760 is a wasteful number, since it uses less digits than its factorization.

5703413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5703413760 is about 75520.9491465779. The cubic root of 5703413760 is about 1786.6725278885.

The spelling of 5703413760 in words is "five billion, seven hundred three million, four hundred thirteen thousand, seven hundred sixty".