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518215696384 = 220192372
BaseRepresentation
bin1111000101010000001…
…00000000000000000000
31211112121100020222002011
413202220010000000000
531442301204241014
61034022012502304
752303603512031
oct7425004000000
91745540228064
10518215696384
1118a857283831
128452547a994
1339b37c6cc49
141b12055aa88
15d72ede67c4
hex78a8100000

518215696384 has 189 divisors, whose sum is σ = 1124213445117. Its totient is φ = 238836252672.

The previous prime is 518215696373. The next prime is 518215696391. The reversal of 518215696384 is 483696512815.

It is a happy number.

The square root of 518215696384 is 719872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 463706521600 + 54509174784 = 680960^2 + 233472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14005829614 + ... + 14005829650.

Almost surely, 2518215696384 is an apocalyptic number.

518215696384 is the 719872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518215696384

518215696384 is an abundant number, since it is smaller than the sum of its proper divisors (605997748733).

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

518215696384 is an frugal number, since it uses more digits than its factorization.

518215696384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 58 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 58.

The spelling of 518215696384 in words is "five hundred eighteen billion, two hundred fifteen million, six hundred ninety-six thousand, three hundred eighty-four".