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5658063840 = 2534511134371
BaseRepresentation
bin1010100010011111…
…10011001111100000
3112121022122102110000
411101033303033200
543041431020330
62333235540000
7260132514642
oct52117631740
915538572400
105658063840
112443914120
12111aa5a600
136c22a7090
143b9640892
15231ae3560
hex1513f33e0

5658063840 has 960 divisors, whose sum is σ = 24342861312. Its totient is φ = 1219276800.

The previous prime is 5658063799. The next prime is 5658063841. The reversal of 5658063840 is 483608565.

5658063840 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 0 + 638 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5658063841) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 79691005 + ... + 79691075.

Almost surely, 25658063840 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 5658063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171430656).

5658063840 is an abundant number, since it is smaller than the sum of its proper divisors (18684797472).

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

5658063840 is a wasteful number, since it uses less digits than its factorization.

5658063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5658063840 is about 75220.1026322086. The cubic root of 5658063840 is about 1781.9244262750.

The spelling of 5658063840 in words is "five billion, six hundred fifty-eight million, sixty-three thousand, eight hundred forty".