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13378197411 = 342337421461
BaseRepresentation
bin11000111010110011…
…10001011110100011
31021112100102211210000
430131121301132203
5204344304304121
610051301111043
7652344541665
oct143531613643
937470384700
1013378197411
1157457097a7
1227143b8483
13135284b557
1490ca96535
1553475a526
hex31d6717a3

13378197411 has 80 divisors (see below), whose sum is σ = 21514667328. Its totient is φ = 8262777600.

The previous prime is 13378197397. The next prime is 13378197419. The reversal of 13378197411 is 11479187331.

13378197411 is a `hidden beast` number, since 13 + 37 + 8 + 197 + 411 = 666.

It is not a de Polignac number, because 13378197411 - 215 = 13378164643 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13378197419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29019721 + ... + 29020181.

Almost surely, 213378197411 is an apocalyptic number.

13378197411 is a deficient number, since it is larger than the sum of its proper divisors (8136469917).

13378197411 is a wasteful number, since it uses less digits than its factorization.

13378197411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 945 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The spelling of 13378197411 in words is "thirteen billion, three hundred seventy-eight million, one hundred ninety-seven thousand, four hundred eleven".

Divisors: 1 3 9 23 27 37 69 81 111 207 333 421 461 621 851 999 1263 1383 1863 2553 2997 3789 4149 7659 9683 10603 11367 12447 15577 17057 22977 29049 31809 34101 37341 46731 51171 68931 87147 95427 140193 153513 194081 261441 286281 358271 392311 420579 460539 582243 784323 858843 1074813 1176933 1261737 1381617 1746729 3224439 3530799 4463863 5240187 7180997 9673317 10592397 13391589 15720561 21542991 29019951 31777191 40174767 64628973 120524301 165162931 193886919 361572903 495488793 581660757 1486466379 4459399137 13378197411