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5754540000 = 25354118719
BaseRepresentation
bin1010101101111111…
…10100111111100000
3112212001011220212010
411112333310333200
543241130240000
62351003432520
7262413532356
oct52677647740
915761156763
105754540000
112493319090
121147225740
13709285971
143c83957d6
1523a2edd50
hex156ff4fe0

5754540000 has 240 divisors, whose sum is σ = 20594407680. Its totient is φ = 1394880000.

The previous prime is 5754539971. The next prime is 5754540023. The reversal of 5754540000 is 454575.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×57545400002 = 66229461223200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5754540000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 655641 + ... + 664359.

It is an arithmetic number, because the mean of its divisors is an integer number (85810032).

Almost surely, 25754540000 is an apocalyptic number.

5754540000 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 5754540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10297203840).

5754540000 is an abundant number, since it is smaller than the sum of its proper divisors (14839867680).

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

5754540000 is a wasteful number, since it uses less digits than its factorization.

5754540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8763 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 5754540000 is about 75858.6844072582. The cubic root of 5754540000 is about 1791.9953197954.

Adding to 5754540000 its reverse (454575), we get a palindrome (5754994575).

The spelling of 5754540000 in words is "five billion, seven hundred fifty-four million, five hundred forty thousand".