Search a number
-
+
136266067287 = 37743317653
BaseRepresentation
bin111111011101000010…
…1110010110101010111
3111000201121122110000000
41332322011302311113
54213033103123122
6142333314422343
712562541314050
oct1767205626527
9430647573000
10136266067287
1152876708239
12224ab2919b3
13cb0811a35c
146849777727
1538280060ac
hex1fba172d57

136266067287 has 128 divisors (see below), whose sum is σ = 240116152320. Its totient is φ = 75699453312.

The previous prime is 136266067279. The next prime is 136266067291. The reversal of 136266067287 is 782760662631.

136266067287 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 6 + 606 + 7 + 28 + 7 = 666.

It is not a de Polignac number, because 136266067287 - 23 = 136266067279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136266067247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 208676653 + ... + 208677305.

It is an arithmetic number, because the mean of its divisors is an integer number (1875907440).

Almost surely, 2136266067287 is an apocalyptic number.

136266067287 is a deficient number, since it is larger than the sum of its proper divisors (103850085033).

136266067287 is an frugal number, since it uses more digits than its factorization.

136266067287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 136266067287 in words is "one hundred thirty-six billion, two hundred sixty-six million, sixty-seven thousand, two hundred eighty-seven".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 243 301 317 387 567 653 729 903 951 1161 1701 1959 2187 2219 2709 2853 3483 4571 5103 5877 6657 8127 8559 10449 13631 13713 15309 17631 19971 24381 25677 28079 31347 40893 41139 52893 59913 73143 77031 84237 94041 95417 122679 123417 158679 179739 196553 207001 219429 231093 252711 286251 368037 370251 476037 539217 589659 621003 658287 693279 758133 858753 1104111 1110753 1428111 1449007 1617651 1768977 1863009 2274399 2576259 3312333 3332259 4347021 4852953 5306931 5589027 6823197 7728777 8901043 9936999 9996777 13041063 15920793 16767081 20469591 23186331 26703129 29810997 39123189 47762379 50301243 61408773 62307301 69558993 80109387 117369567 143287137 150903729 186921903 208676979 240328161 352108701 429861411 452711187 560765709 720984483 1056326103 1682297127 2162953449 3168978309 5046891381 6488860347 15140674143 19466581041 45422022429 136266067287