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5752166400 = 21134521973
BaseRepresentation
bin1010101101101101…
…10001100000000000
3112211212201022220000
411112312301200000
543240023311100
62350440520000
7262354415301
oct52666614000
915755638800
105752166400
112491a47832
121146480000
13708934476
143c7d387a8
15239ed0900
hex156db1800

5752166400 has 720 divisors, whose sum is σ = 22733310600. Its totient is φ = 1433272320.

The previous prime is 5752166341. The next prime is 5752166401. The reversal of 5752166400 is 46612575.

It is a happy number.

5752166400 is a `hidden beast` number, since 5 + 7 + 5 + 2 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (5752166401) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 78796764 + ... + 78796836.

Almost surely, 25752166400 is an apocalyptic number.

5752166400 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 5752166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366655300).

5752166400 is an abundant number, since it is smaller than the sum of its proper divisors (16981144200).

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

5752166400 is a wasteful number, since it uses less digits than its factorization.

5752166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5752166400 is about 75843.0379138389. The cubic root of 5752166400 is about 1791.7489018922.

Adding to 5752166400 its reverse (46612575), we get a palindrome (5798778975).

The spelling of 5752166400 in words is "five billion, seven hundred fifty-two million, one hundred sixty-six thousand, four hundred".