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534710030400 = 263552721317127
BaseRepresentation
bin1111100011111110011…
…00111001000001000000
31220010011212020221200000
413301333030321001000
532230041231433100
61045350431400000
753426420160300
oct7617714710100
91803155227600
10534710030400
11196850966037
1287769383000
133b5662762c0
141bc4700b600
15dd97ed6900
hex7c7f339040

534710030400 has 3024 divisors, whose sum is σ = 2634827360256. Its totient is φ = 105345515520.

The previous prime is 534710030399. The next prime is 534710030443. The reversal of 534710030400 is 4030017435.

534710030400 is a `hidden beast` number, since 5 + 347 + 10 + 0 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×5347100304002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4210315137 + ... + 4210315263.

It is an arithmetic number, because the mean of its divisors is an integer number (871305344).

Almost surely, 2534710030400 is an apocalyptic number.

534710030400 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 534710030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317413680128).

534710030400 is an abundant number, since it is smaller than the sum of its proper divisors (2100117329856).

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

534710030400 is a wasteful number, since it uses less digits than its factorization.

534710030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 534710030400 its reverse (4030017435), we get a palindrome (538740047835).

The spelling of 534710030400 in words is "five hundred thirty-four billion, seven hundred ten million, thirty thousand, four hundred".