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378948585849873 = 313443541102139709
BaseRepresentation
bin101011000101001101101011…
…1110110010000010000010001
31211200202010112111120202002120
41112022123113312100100101
5344132143200434143443
63421542324350404453
7142551063136030104
oct12612332766202021
91750663474522076
10378948585849873
11aa8212135a7806
1236602936800729
131335a910267460
1469812d08da73b
152dc24c7e4e083
hex158a6d7d90411

378948585849873 has 64 divisors (see below), whose sum is σ = 546916551202560. Its totient is φ = 232009333171200.

The previous prime is 378948585849863. The next prime is 378948585849893.

It is a happy number.

378948585849873 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 378948585849873 - 240 = 377849074222097 is a prime.

It is a super-2 number, since 2×3789485858498732 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (378948585849863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9543121143 + ... + 9543160851.

It is an arithmetic number, because the mean of its divisors is an integer number (8545571112540).

Almost surely, 2378948585849873 is an apocalyptic number.

It is an amenable number.

378948585849873 is a deficient number, since it is larger than the sum of its proper divisors (167967965352687).

378948585849873 is a wasteful number, since it uses less digits than its factorization.

378948585849873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41730.

The product of its digits is 468202291200, while the sum is 96.

The spelling of 378948585849873 in words is "three hundred seventy-eight trillion, nine hundred forty-eight billion, five hundred eighty-five million, eight hundred forty-nine thousand, eight hundred seventy-three".

Divisors: 1 3 13 39 443 541 1021 1329 1623 3063 5759 7033 13273 17277 21099 39709 39819 119127 239663 452303 516217 552361 718989 1356909 1548651 1657083 3115619 5879939 7180693 9346857 17591087 17639817 21482569 21542079 40542889 52773261 64447707 121628667 228684131 244695923 279273397 527057557 686052393 734087769 837820191 1581172671 3181046999 9516778067 9543140997 17960499827 21933702949 28550334201 53881499481 65801108847 123718114871 233486497751 285138138337 371154344613 700459493253 855414415011 9716630406407 29149891219221 126316195283291 378948585849873