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138585664725 = 352172910213671
BaseRepresentation
bin1000000100010001011…
…0010110110011010101
3111020201021101012111020
42001010112112303111
54232310412232400
6143355415431353
713004165466564
oct2010426266325
9436637335436
10138585664725
1153856aa4112
1222a38085559
13100b7864611
1469c9867bdb
1539119992a0
hex2044596cd5

138585664725 has 96 divisors (see below), whose sum is σ = 251286416640. Its totient is φ = 67081728000.

The previous prime is 138585664697. The next prime is 138585664729. The reversal of 138585664725 is 527466585831.

It is not a de Polignac number, because 138585664725 - 27 = 138585664597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138585664729) 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, 37749640 + ... + 37753310.

It is an arithmetic number, because the mean of its divisors is an integer number (2617566840).

Almost surely, 2138585664725 is an apocalyptic number.

138585664725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138585664725 is a deficient number, since it is larger than the sum of its proper divisors (112700751915).

138585664725 is a wasteful number, since it uses less digits than its factorization.

138585664725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4746 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 60.

The spelling of 138585664725 in words is "one hundred thirty-eight billion, five hundred eighty-five million, six hundred sixty-four thousand, seven hundred twenty-five".

Divisors: 1 3 5 15 17 25 29 51 75 85 87 145 255 425 435 493 725 1021 1275 1479 2175 2465 3063 3671 5105 7395 11013 12325 15315 17357 18355 25525 29609 36975 52071 55065 62407 76575 86785 88827 91775 106459 148045 187221 260355 275325 312035 319377 433925 444135 503353 532295 740225 936105 1301775 1510059 1560175 1596885 1809803 2220675 2516765 2661475 3748091 4680525 5429409 7550295 7984425 9049015 11244273 12583825 18740455 27147045 37751475 45245075 56221365 63717547 93702275 108694639 135735225 191152641 281106825 318587735 326083917 543473195 955763205 1592938675 1630419585 1847808863 2717365975 4778816025 5543426589 8152097925 9239044315 27717132945 46195221575 138585664725