Search a number
-
+
13169378268 = 223219294116193
BaseRepresentation
bin11000100001111010…
…01100001111011100
31020222210111201202200
430100331030033130
5203432330101033
610014441251500
7644230603554
oct142075141734
936883451680
1013169378268
1156488528a2
122676493b90
13131b4c7027
148cd05a164
1552125d013
hex310f4c3dc

13169378268 has 144 divisors (see below), whose sum is σ = 37136080800. Its totient is φ = 3917168640.

The previous prime is 13169378263. The next prime is 13169378279. The reversal of 13169378268 is 86287396131.

13169378268 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 9 + 378 + 268 = 666.

13169378268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13169378263) 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 47 ways as a sum of consecutive naturals, for example, 805180 + ... + 821372.

It is an arithmetic number, because the mean of its divisors is an integer number (257889450).

Almost surely, 213169378268 is an apocalyptic number.

13169378268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13169378268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18568040400).

13169378268 is an abundant number, since it is smaller than the sum of its proper divisors (23966702532).

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

13169378268 is a wasteful number, since it uses less digits than its factorization.

13169378268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16292 (or 16287 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 13169378268 in words is "thirteen billion, one hundred sixty-nine million, three hundred seventy-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 41 57 58 76 82 87 114 116 123 164 171 174 228 246 261 342 348 369 492 522 551 684 738 779 1044 1102 1189 1476 1558 1653 2204 2337 2378 3116 3306 3567 4674 4756 4959 6612 7011 7134 9348 9918 10701 14022 14268 16193 19836 21402 22591 28044 32386 42804 45182 48579 64772 67773 90364 97158 135546 145737 194316 203319 271092 291474 307667 406638 469597 582948 615334 663913 813276 923001 939194 1230668 1327826 1408791 1846002 1878388 1991739 2655652 2769003 2817582 3692004 3983478 4226373 5538006 5635164 5975217 7966956 8452746 8922343 11076012 11950434 12614347 16905492 17844686 19253477 23900868 25228694 26767029 35689372 37843041 38506954 50457388 53534058 57760431 75686082 77013908 80301087 107068116 113529123 115520862 151372164 160602174 173281293 227058246 231041724 321204348 346562586 365816063 454116492 693125172 731632126 1097448189 1463264252 2194896378 3292344567 4389792756 6584689134 13169378268