Search a number
-
+
39193096664205 = 32511174943394219
BaseRepresentation
bin10001110100101010110101…
…00110101011010010001101
312010202211020021221110220100
420322111122212223102031
520114114430221223310
6215205020545241313
711153415320622201
oct1072253246532215
9163684207843810
1039193096664205
1111540776339a90
12448ba74933239
1318b3b7c35b513
14996d5539ab01
1547e780856ec0
hex23a55a9ab48d

39193096664205 has 96 divisors (see below), whose sum is σ = 78472449095040. Its totient is φ = 17884355235840.

The previous prime is 39193096664179. The next prime is 39193096664209. The reversal of 39193096664205 is 50246669039193.

39193096664205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39193096664205 - 220 = 39193095615629 is a prime.

It is a super-2 number, since 2×391930966642052 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39193096664209) 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 95 ways as a sum of consecutive naturals, for example, 415931586 + ... + 416025804.

It is an arithmetic number, because the mean of its divisors is an integer number (817421344740).

Almost surely, 239193096664205 is an apocalyptic number.

It is an amenable number.

39193096664205 is an abundant number, since it is smaller than the sum of its proper divisors (39279352430835).

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

39193096664205 is a wasteful number, since it uses less digits than its factorization.

39193096664205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143691 (or 143688 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 39193096664205 in words is "thirty-nine trillion, one hundred ninety-three billion, ninety-six million, six hundred sixty-four thousand, two hundred five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 49433 94219 148299 247165 282657 444897 471095 543763 741495 840361 847971 1036409 1413285 1601723 1631289 2224485 2521083 2718815 3109227 4201805 4239855 4805169 4893867 5182045 7563249 8008615 8156445 9243971 9327681 12605415 14415507 15546135 17618953 24025845 24469335 27731913 37816245 46219855 46638405 52856859 72077535 83195739 88094765 138659565 158570577 264284295 415978695 792852885 4657527827 13972583481 23287639135 41917750443 51232806097 69862917405 79177973059 153698418291 209588752215 237533919177 256164030485 395889865295 461095254873 712601757531 768492091455 870957703649 1187669595885 2305476274365 2612873110947 3563008787655 4354788518245 7838619332841 13064365554735 39193096664205