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684058018084 = 2272590772
BaseRepresentation
bin10011111010001010000…
…10010000000100100100
32102101200011211210210021
421331011002100010210
542201422323034314
61242130225204524
7100264411134100
oct11750502200444
92371604753707
10684058018084
1124411aa10731
12b06a9790744
134c67771884c
1425173d56900
1512bd9722324
hex9f45090124

684058018084 has 27 divisors (see below), whose sum is σ = 1392570251793. Its totient is φ = 293162759568.

The previous prime is 684058018081. The next prime is 684058018117. The reversal of 684058018084 is 480810850486.

The square root of 684058018084 is 827078.

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., 130414876900 + 553643141184 = 361130^2 + 744072^2 .

It is not an unprimeable number, because it can be changed into a prime (684058018081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11549554 + ... + 11608630.

Almost surely, 2684058018084 is an apocalyptic number.

684058018084 is the 827078-th square number.

It is an amenable number.

684058018084 is an abundant number, since it is smaller than the sum of its proper divisors (708512233709).

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

684058018084 is an frugal number, since it uses more digits than its factorization.

684058018084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118172 (or 59086 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 52.

The spelling of 684058018084 in words is "six hundred eighty-four billion, fifty-eight million, eighteen thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 59077 118154 236308 413539 827078 1654156 2894773 5789546 11579092 3490091929 6980183858 13960367716 24430643503 48861287006 97722574012 171014504521 342029009042 684058018084