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5734520064 = 28357131013
BaseRepresentation
bin1010101011100110…
…11101010100000000
3112210122111210200000
411111303131110000
543221014120224
62345010400000
7262051421250
oct52563352400
915718453600
105734520064
112482a94889
121140590000
13705096450
143c5863960
152386970c9
hex155cdd500

5734520064 has 432 divisors, whose sum is σ = 21124102272. Its totient is φ = 1510907904.

The previous prime is 5734519991. The next prime is 5734520069. The reversal of 5734520064 is 4600254375.

5734520064 is a `hidden beast` number, since 5 + 73 + 4 + 520 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5734520069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660422 + ... + 5661434.

Almost surely, 25734520064 is an apocalyptic number.

5734520064 is a gapful number since it is divisible by the number (54) 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 5734520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10562051136).

5734520064 is an abundant number, since it is smaller than the sum of its proper divisors (15389582208).

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

5734520064 is a wasteful number, since it uses less digits than its factorization.

5734520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5734520064 is about 75726.6139742165. The cubic root of 5734520064 is about 1789.9147992696.

The spelling of 5734520064 in words is "five billion, seven hundred thirty-four million, five hundred twenty thousand, sixty-four".