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1678139060208 = 2431319538593109
BaseRepresentation
bin11000011010111000111…
…000011110111111110000
312221102120101201000111020
4120122320320132333300
5204443312044411313
63322532040015440
7232145564441142
oct30327070367760
95842511630436
101678139060208
115977708289a6
12231299461580
13c232b652140
145b318248c92
152d9bb50d323
hex186b8e1eff0

1678139060208 has 320 divisors, whose sum is σ = 5014554048000. Its totient is φ = 479231520768.

The previous prime is 1678139060203. The next prime is 1678139060219. The reversal of 1678139060208 is 8020609318761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678139060203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539766558 + ... + 539769666.

It is an arithmetic number, because the mean of its divisors is an integer number (15670481400).

Almost surely, 21678139060208 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 1678139060208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507277024000).

1678139060208 is an abundant number, since it is smaller than the sum of its proper divisors (3336414987792).

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

1678139060208 is a wasteful number, since it uses less digits than its factorization.

1678139060208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 1678139060208 in words is "one trillion, six hundred seventy-eight billion, one hundred thirty-nine million, sixty thousand, two hundred eight".