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1686471380608 = 27737351114489
BaseRepresentation
bin11000100010101001100…
…001110000111010000000
312222020002002102202021111
4120202221201300322000
5210112343133134413
63330430530333104
7232562222132350
oct30425141607200
95866062382244
101686471380608
115a0257145603
12232a23a2a194
13c305899b241
145b8a8adab60
152dd07c9dd3d
hex188a9870e80

1686471380608 has 128 divisors (see below), whose sum is σ = 3944905977600. Its totient is φ = 702990213120.

The previous prime is 1686471380597. The next prime is 1686471380639. The reversal of 1686471380608 is 8060831746861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116389428 + ... + 116403916.

It is an arithmetic number, because the mean of its divisors is an integer number (30819577950).

Almost surely, 21686471380608 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 1686471380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972452988800).

1686471380608 is an abundant number, since it is smaller than the sum of its proper divisors (2258434596992).

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

1686471380608 is a wasteful number, since it uses less digits than its factorization.

1686471380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18058 (or 18046 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 1686471380608 in words is "one trillion, six hundred eighty-six billion, four hundred seventy-one million, three hundred eighty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 896 1036 1184 2072 2368 3511 4144 4736 7022 8288 14044 14489 16576 24577 28088 28978 33152 49154 56176 57956 98308 101423 112352 115912 129907 196616 202846 224704 231824 259814 393232 405692 449408 463648 519628 536093 786464 811384 909349 927296 1039256 1072186 1572928 1622768 1818698 1854592 2078512 2144372 3145856 3245536 3637396 3752651 4157024 4288744 6491072 7274792 7505302 8314048 8577488 12982144 14549584 15010604 16628096 17154976 29099168 30021208 34309952 50870879 58198336 60042416 68619904 101741758 116396672 120084832 203483516 240169664 356096153 406967032 480339328 712192306 813934064 1424384612 1627868128 1882222523 2848769224 3255736256 3764445046 5697538448 6511472512 7528890092 11395076896 13175557661 15057780184 22790153792 26351115322 30115560368 45580307584 52702230644 60231120736 105404461288 120462241472 210808922576 240924482944 421617845152 843235690304 1686471380608