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1683641216439 = 327138364738281
BaseRepresentation
bin11000100000000000110…
…101100010110110110111
312221221202211222111220100
4120200000311202312313
5210041044122411224
63325242030205143
7232432125133020
oct30400065426667
95857684874810
101683641216439
1159a034635356
122323740537b3
13c29c753c3a0
145b6baca3c47
152dbde5a6ac9
hex18800d62db7

1683641216439 has 96 divisors (see below), whose sum is σ = 3033963039744. Its totient is φ = 875995845120.

The previous prime is 1683641216431. The next prime is 1683641216449. The reversal of 1683641216439 is 9346121463861.

It is a happy number.

1683641216439 is a `hidden beast` number, since 1 + 6 + 8 + 36 + 412 + 164 + 39 = 666.

It is not a de Polignac number, because 1683641216439 - 23 = 1683641216431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683641216431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43961979 + ... + 44000259.

It is an arithmetic number, because the mean of its divisors is an integer number (31603781664).

Almost surely, 21683641216439 is an apocalyptic number.

1683641216439 is a deficient number, since it is larger than the sum of its proper divisors (1350321823305).

1683641216439 is a wasteful number, since it uses less digits than its factorization.

1683641216439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39037 (or 39034 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 1683641216439 in words is "one trillion, six hundred eighty-three billion, six hundred forty-one million, two hundred sixteen thousand, four hundred thirty-nine".

Divisors: 1 3 7 9 13 21 39 63 83 91 117 249 273 581 647 747 819 1079 1743 1941 3237 4529 5229 5823 7553 8411 9711 13587 22659 25233 38281 40761 53701 58877 67977 75699 114843 161103 176631 267967 344529 375907 483309 497653 529893 698113 803901 1127721 1492959 2094339 2411703 3177323 3383163 3483571 4478877 4886791 6283017 9531969 10450713 14660373 22241261 24767807 28595907 31352139 41305199 43981119 66723783 74303421 123915597 173374649 200171349 222910263 289136393 321981491 371746791 520123947 867409179 965944473 1560371841 2055727981 2253870437 2602227537 2897833419 6167183943 6761611311 14390095867 18501551829 20284833933 26724463753 43170287601 80173391259 129510862803 187071246271 240520173777 561213738813 1683641216439