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520493440896 = 273311138312689
BaseRepresentation
bin1111001001011111101…
…00111001111110000000
31211202111002020101011000
413210233310321332000
532011432310102041
61035040020452000
752414212151422
oct7445764717600
91752432211130
10520493440896
11190815a83a10
1284a6024a000
133a10bb22170
141b298c74812
15d814d6dbb6
hex792fd39f80

520493440896 has 512 divisors, whose sum is σ = 1826629056000. Its totient is φ = 143827107840.

The previous prime is 520493440891. The next prime is 520493440937. The reversal of 520493440896 is 698044394025.

520493440896 is a `hidden beast` number, since 5 + 20 + 4 + 93 + 440 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520493440891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41012920 + ... + 41025608.

It is an arithmetic number, because the mean of its divisors is an integer number (3567634875).

Almost surely, 2520493440896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520493440896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913314528000).

520493440896 is an abundant number, since it is smaller than the sum of its proper divisors (1306135615104).

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

520493440896 is a wasteful number, since it uses less digits than its factorization.

520493440896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 520493440896 in words is "five hundred twenty billion, four hundred ninety-three million, four hundred forty thousand, eight hundred ninety-six".