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684426546772080 = 2435717432392331859
BaseRepresentation
bin1001101110011110110111100…
…1001100011111100001110000
310022202100112112211110000110220
42123213231321030133201300
51204202121031433201310
610423353114232453040
7264110120603215620
oct23347557114374160
93282315484400426
10684426546772080
11189096739764902
126491a54984a180
13234b91b98c9458
14c1025c8ca8880
15541d789d65670
hex26e7b7931f870

684426546772080 has 640 divisors, whose sum is σ = 2638164175257600. Its totient is φ = 143212047777792.

The previous prime is 684426546772049. The next prime is 684426546772091. The reversal of 684426546772080 is 80277645624486.

It is a junction number, because it is equal to n+sod(n) for n = 684426546771996 and 684426546772014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292345191 + ... + 294677049.

It is an arithmetic number, because the mean of its divisors is an integer number (4122131523840).

Almost surely, 2684426546772080 is an apocalyptic number.

684426546772080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684426546772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319082087628800).

684426546772080 is an abundant number, since it is smaller than the sum of its proper divisors (1953737628485520).

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

684426546772080 is a wasteful number, since it uses less digits than its factorization.

684426546772080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332181 (or 2332175 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 69.

The spelling of 684426546772080 in words is "six hundred eighty-four trillion, four hundred twenty-six billion, five hundred forty-six million, seven hundred seventy-two thousand, eighty".