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1689419982208 = 2772027930199
BaseRepresentation
bin11000100101011001010…
…001110010010110000000
312222111200120202020021011
4120211121101302112000
5210134413003412313
63332035301210304
7233025254624440
oct30453121622600
95874616666234
101689419982208
115a152a59a632
12233507400994
13c3408827a0a
145baa8564120
152de2ba8d93d
hex18959472580

1689419982208 has 64 divisors (see below), whose sum is σ = 3848349024000. Its totient is φ = 723679160832.

The previous prime is 1689419982197. The next prime is 1689419982223. The reversal of 1689419982208 is 8022899149861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351093 + ... + 2281291.

It is an arithmetic number, because the mean of its divisors is an integer number (60130453500).

Almost surely, 21689419982208 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 1689419982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924174512000).

1689419982208 is an abundant number, since it is smaller than the sum of its proper divisors (2158929041792).

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

1689419982208 is an equidigital number, since it uses as much as digits as its factorization.

1689419982208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932247 (or 932235 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 67.

The spelling of 1689419982208 in words is "one trillion, six hundred eighty-nine billion, four hundred nineteen million, nine hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 2027 4054 8108 14189 16216 28378 32432 56756 64864 113512 129728 227024 259456 454048 908096 930199 1816192 1860398 3720796 6511393 7441592 13022786 14883184 26045572 29766368 52091144 59532736 104182288 119065472 208364576 416729152 833458304 1885513373 3771026746 7542053492 13198593611 15084106984 26397187222 30168213968 52794374444 60336427936 105588748888 120672855872 211177497776 241345711744 422354995552 844709991104 1689419982208