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5745201000 = 23353721121719
BaseRepresentation
bin1010101100111000…
…01100111101101000
3112211101121110011020
411112130030331220
543231232413000
62350031332440
7262241255100
oct52634147550
915741543136
105745201000
11248901a600
121144081120
13707365c26
143c7044200
152395a6ba0
hex15670cf68

5745201000 has 1152 divisors, whose sum is σ = 25544937600. Its totient is φ = 1064448000.

The previous prime is 5745200999. The next prime is 5745201001. The reversal of 5745201000 is 1025475.

It is an interprime number because it is at equal distance from previous prime (5745200999) and next prime (5745201001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5745201001) 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 287 ways as a sum of consecutive naturals, for example, 302378991 + ... + 302379009.

It is an arithmetic number, because the mean of its divisors is an integer number (22174425).

Almost surely, 25745201000 is an apocalyptic number.

5745201000 is a gapful number since it is divisible by the number (50) 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 5745201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772468800).

5745201000 is an abundant number, since it is smaller than the sum of its proper divisors (19799736600).

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

5745201000 is a wasteful number, since it uses less digits than its factorization.

5745201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 5745201000 is about 75797.1041663202. The cubic root of 5745201000 is about 1791.0253896336.

Adding to 5745201000 its reverse (1025475), we get a palindrome (5746226475).

The spelling of 5745201000 in words is "five billion, seven hundred forty-five million, two hundred one thousand".