Search a number
-
+
12646082138417 = 7132193734634391
BaseRepresentation
bin1011100000000110010100…
…1110111101000100110001
31122202221202012121100011222
42320001211032331010301
53124143134011412132
642521310244314425
72443435463410220
oct270014516750461
948687665540158
1012646082138417
11403619a759012
121502a8b3a2a15
1370969c4c6c00
1431a106100cb7
1516de486d5412
hexb80653bd131

12646082138417 has 96 divisors (see below), whose sum is σ = 16927580344320. Its totient is φ = 9218121719040.

The previous prime is 12646082138381. The next prime is 12646082138419. The reversal of 12646082138417 is 71483128064621.

It is a happy number.

It is not a de Polignac number, because 12646082138417 - 210 = 12646082137393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12646082138419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2879998292 + ... + 2880002682.

It is an arithmetic number, because the mean of its divisors is an integer number (176328961920).

Almost surely, 212646082138417 is an apocalyptic number.

It is an amenable number.

12646082138417 is a deficient number, since it is larger than the sum of its proper divisors (4281498205903).

12646082138417 is a wasteful number, since it uses less digits than its factorization.

12646082138417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7943 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 12646082138417 in words is "twelve trillion, six hundred forty-six billion, eighty-two million, one hundred thirty-eight thousand, four hundred seventeen".

Divisors: 1 7 13 19 37 91 133 169 247 259 481 703 1183 1729 3211 3367 3463 4391 4921 6253 9139 22477 24241 30737 43771 45019 57083 63973 65797 83429 118807 128131 162467 315133 399581 460579 584003 585247 742079 831649 855361 896917 1084577 1137269 1665703 2112071 2434489 3086873 4096729 5194553 5987527 7592039 11119693 11659921 14099501 14784497 15206033 17041423 21608111 21654139 27456923 31648357 40129349 77837851 98696507 106442231 151578973 192198461 197678429 221538499 280905443 288914627 411428641 521681537 562623221 1383749003 2022402389 2569819577 2880000487 3651770759 3755890151 3938362547 7314101873 10689841199 17988737039 26291231057 48826571963 51198713111 74828888393 95083324349 138967935587 341786003741 665583270443 972775549109 1806583162631 12646082138417