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378114108489 = 32134111326173
BaseRepresentation
bin1011000000010010101…
…10110110110001001001
31100010222102101212221100
411200021112312301021
522143334202432424
6445411521332013
736214006615065
oct5401126666111
91303872355840
10378114108489
111363a2614157
1261345797009
132986b32c790
141442d646aa5
159c80309dc9
hex58095b6c49

378114108489 has 72 divisors (see below), whose sum is σ = 608001023448. Its totient is φ = 224964956160.

The previous prime is 378114108479. The next prime is 378114108497. The reversal of 378114108489 is 984801411873.

378114108489 is a `hidden beast` number, since 3 + 78 + 1 + 1 + 410 + 84 + 89 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 345264358464 + 32849750025 = 587592^2 + 181245^2 .

It is not a de Polignac number, because 378114108489 - 29 = 378114107977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (378114108419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61249807 + ... + 61255979.

It is an arithmetic number, because the mean of its divisors is an integer number (8444458659).

Almost surely, 2378114108489 is an apocalyptic number.

378114108489 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

378114108489 is a deficient number, since it is larger than the sum of its proper divisors (229886914959).

378114108489 is a wasteful number, since it uses less digits than its factorization.

378114108489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 378114108489 in words is "three hundred seventy-eight billion, one hundred fourteen million, one hundred eight thousand, four hundred eighty-nine".

Divisors: 1 3 9 13 39 41 113 117 123 339 369 533 1017 1469 1599 4407 4633 4797 6173 12769 13221 13899 18519 38307 41697 55557 60229 80249 114921 165997 180687 240747 253093 497991 523529 542061 697549 722241 759279 1493973 1570587 2092647 2277837 3290209 4711761 6277941 6805877 9068137 9870627 20417631 27204411 28599509 29611881 61252893 78823037 81613233 85798527 236469111 257395581 371793617 709407333 1024699481 1115380851 3074098443 3231744517 3346142553 9222295329 9695233551 29085700653 42012678721 126038036163 378114108489