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5705034048 = 263272997503
BaseRepresentation
bin1010101000000101…
…11110100101000000
3112201121000202110100
411110002332211000
543140442042143
62342034402400
7261242663220
oct52402764500
915647022410
105705034048
11246838557a
121132730400
136cbc413bc
143c198a080
15235cc06d3
hex1540be940

5705034048 has 336 divisors, whose sum is σ = 19571086080. Its totient is φ = 1554481152.

The previous prime is 5705034037. The next prime is 5705034053. The reversal of 5705034048 is 8404305075.

5705034048 is a `hidden beast` number, since 5 + 70 + 503 + 40 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 11341765 + ... + 11342267.

It is an arithmetic number, because the mean of its divisors is an integer number (58247280).

Almost surely, 25705034048 is an apocalyptic number.

5705034048 is a gapful number since it is divisible by the number (58) 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 5705034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785543040).

5705034048 is an abundant number, since it is smaller than the sum of its proper divisors (13866052032).

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

5705034048 is a wasteful number, since it uses less digits than its factorization.

5705034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5705034048 is about 75531.6757923456. The cubic root of 5705034048 is about 1786.8417043432.

The spelling of 5705034048 in words is "five billion, seven hundred five million, thirty-four thousand, forty-eight".