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520494090732 = 2234711194761383
BaseRepresentation
bin1111001001011111101…
…11011000100111101100
31211202111010110101120000
413210233313120213230
532011432441400412
61035040042424300
752414220526120
oct7445767304754
91752433411500
10520494090732
11190816388170
1284a60502090
133a10bcbbb95
141b298da3580
15d814e4b4dc
hex792fdd89ec

520494090732 has 960 divisors, whose sum is σ = 1858441052160. Its totient is φ = 122975884800.

The previous prime is 520494090673. The next prime is 520494090797. The reversal of 520494090732 is 237090494025.

520494090732 is a `hidden beast` number, since 5 + 2 + 0 + 494 + 0 + 90 + 73 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1358992213 + ... + 1358992595.

It is an arithmetic number, because the mean of its divisors is an integer number (1935876096).

Almost surely, 2520494090732 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 520494090732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929220526080).

520494090732 is an abundant number, since it is smaller than the sum of its proper divisors (1337946961428).

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

520494090732 is a wasteful number, since it uses less digits than its factorization.

520494090732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 520494090732 in words is "five hundred twenty billion, four hundred ninety-four million, ninety thousand, seven hundred thirty-two".