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678171352320 = 28325721129929
BaseRepresentation
bin10011101111001100010…
…10011001110100000000
32101211110221001012110100
421313212022121310000
542102343331233240
61235314141402400
766665501245200
oct11674612316400
92354427035410
10678171352320
1124167a059600
12ab526269400
134bc49c81977
1424b7620a400
1512992a24e30
hex9de6299d00

678171352320 has 972 divisors, whose sum is σ = 3000483535140. Its totient is φ = 140904529920.

The previous prime is 678171352259. The next prime is 678171352351. The reversal of 678171352320 is 23253171876.

It can be written as a sum of positive squares in 2 ways, for example, as 190207632384 + 487963719936 = 436128^2 + 698544^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68297116 + ... + 68307044.

Almost surely, 2678171352320 is an apocalyptic number.

678171352320 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 678171352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500241767570).

678171352320 is an abundant number, since it is smaller than the sum of its proper divisors (2322312182820).

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

678171352320 is a wasteful number, since it uses less digits than its factorization.

678171352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 678171352320 in words is "six hundred seventy-eight billion, one hundred seventy-one million, three hundred fifty-two thousand, three hundred twenty".