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14485154731938 = 2331123659605873
BaseRepresentation
bin1101001011001001011010…
…0000001001011110100010
31220021202201100010220122000
43102302112200021132202
53344311044102410223
650450215504424430
73023342431466142
oct322622640113642
956252640126560
1014485154731938
114685135245500
12175b3a1018116
13810c37620627
14381129c28922
151a1bd35d3543
hexd2c968097a2

14485154731938 has 96 divisors (see below), whose sum is σ = 35391281486400. Its totient is φ = 4388233956480.

The previous prime is 14485154731849. The next prime is 14485154731981. The reversal of 14485154731938 is 83913745158441.

14485154731938 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 51 + 547 + 3 + 1 + 9 + 38 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23604970 + ... + 24210842.

It is an arithmetic number, because the mean of its divisors is an integer number (368659182150).

Almost surely, 214485154731938 is an apocalyptic number.

14485154731938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14485154731938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695640743200).

14485154731938 is an abundant number, since it is smaller than the sum of its proper divisors (20906126754462).

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

14485154731938 is a wasteful number, since it uses less digits than its factorization.

14485154731938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609565 (or 609548 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 14485154731938 in words is "fourteen trillion, four hundred eighty-five billion, one hundred fifty-four million, seven hundred thirty-one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 3659 6534 7318 10977 21954 32931 40249 65862 80498 98793 120747 197586 241494 362241 442739 605873 724482 885478 1086723 1211746 1328217 1817619 2173446 2656434 3635238 3984651 5452857 6664603 7969302 10905714 11953953 13329206 16358571 19993809 23907906 32717142 39987618 59981427 73310633 119962854 146621266 179944281 219931899 359888562 439863798 659795697 1319591394 1979387091 2216889307 3958774182 4433778614 6650667921 13301335842 19952003763 24385782377 39904007526 48771564754 59856011289 73157347131 119712022578 146314694262 219472041393 268243606147 438944082786 536487212294 658416124179 804730818441 1316832248358 1609461636882 2414192455323 4828384910646 7242577365969 14485154731938