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138017650290 = 235132232276991
BaseRepresentation
bin1000000010001001111…
…1100011011001110010
3111012020200120002011120
42000202133203121302
54230130004302130
6143223205123110
712654130446042
oct2004237433162
9435220502146
10138017650290
11535954024a3
12228b99b9496
1310026c876c0
146974249722
1538cbb98910
hex20227e3672

138017650290 has 128 divisors (see below), whose sum is σ = 359952187392. Its totient is φ = 33667418880.

The previous prime is 138017650279. The next prime is 138017650319. The reversal of 138017650290 is 92056710831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19738695 + ... + 19745685.

It is an arithmetic number, because the mean of its divisors is an integer number (2812126464).

Almost surely, 2138017650290 is an apocalyptic number.

138017650290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138017650290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179976093696).

138017650290 is an abundant number, since it is smaller than the sum of its proper divisors (221934537102).

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

138017650290 is a wasteful number, since it uses less digits than its factorization.

138017650290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464.

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 138017650290 in words is "one hundred thirty-eight billion, seventeen million, six hundred fifty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 223 227 390 446 454 669 681 1115 1135 1338 1362 2230 2270 2899 2951 3345 3405 5798 5902 6690 6810 6991 8697 8853 13982 14495 14755 17394 17706 20973 28990 29510 34955 41946 43485 44265 50621 69910 86970 88530 90883 101242 104865 151863 181766 209730 253105 272649 303726 454415 506210 545298 658073 759315 908830 1316146 1363245 1518630 1558993 1586957 1974219 2726490 3117986 3173914 3290365 3948438 4676979 4760871 6580730 7794965 7934785 9353958 9521742 9871095 15589930 15869570 19742190 20266909 20630441 23384895 23804355 40533818 41260882 46769790 47608710 60800727 61891323 101334545 103152205 121601454 123782646 202669090 206304410 304003635 309456615 353891411 608007270 618913230 707782822 1061674233 1769457055 2123348466 3538914110 4600588343 5308371165 9201176686 10616742330 13801765029 23002941715 27603530058 46005883430 69008825145 138017650290