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516463994046 = 2371113478292207
BaseRepresentation
bin1111000001111111010…
…01110010010010111110
31211101002021010021012210
413200333221302102332
531430204240302141
61033132115441250
752212313342110
oct7407751622276
91741067107183
10516463994046
1118a038507950
12841168b6226
13399190904a0
141add5a573b0
15d67b22d916
hex783fa724be

516463994046 has 256 divisors, whose sum is σ = 1418727260160. Its totient is φ = 120991864320.

The previous prime is 516463994041. The next prime is 516463994077. The reversal of 516463994046 is 640499364615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516463994041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234010675 + ... + 234012881.

It is an arithmetic number, because the mean of its divisors is an integer number (5541903360).

Almost surely, 2516463994046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516463994046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709363630080).

516463994046 is an abundant number, since it is smaller than the sum of its proper divisors (902263266114).

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

516463994046 is a wasteful number, since it uses less digits than its factorization.

516463994046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119.

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 516463994046 in words is "five hundred sixteen billion, four hundred sixty-three million, nine hundred ninety-four thousand, forty-six".