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5712586992 = 2433722111279
BaseRepresentation
bin1010101000111111…
…10010100011110000
3112202010020111011000
411110133302203300
543144410240432
62342504322000
7261364121400
oct52437624360
915663214130
105712586992
112471674182
121135173300
137006871b8
143c2994800
152367b357c
hex1547f28f0

5712586992 has 240 divisors, whose sum is σ = 19179724800. Its totient is φ = 1623162240.

The previous prime is 5712586973. The next prime is 5712587003. The reversal of 5712586992 is 2996852175.

5712586992 is a `hidden beast` number, since 57 + 1 + 2 + 586 + 9 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4465809 + ... + 4467087.

It is an arithmetic number, because the mean of its divisors is an integer number (79915520).

Almost surely, 25712586992 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 5712586992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589862400).

5712586992 is an abundant number, since it is smaller than the sum of its proper divisors (13467137808).

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

5712586992 is a wasteful number, since it uses less digits than its factorization.

5712586992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1502 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 5712586992 is about 75581.6577748861. The cubic root of 5712586992 is about 1787.6298950187.

It can be divided in two parts, 5712 and 586992, that added together give a cube (592704 = 843).

The spelling of 5712586992 in words is "five billion, seven hundred twelve million, five hundred eighty-six thousand, nine hundred ninety-two".