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48239350705 = 57213217193607
BaseRepresentation
bin101100111011010010…
…100001001110110001
311121111212211220211201
4230323102201032301
51242243233210310
634054424411201
73325262500300
oct547322411661
9147455756751
1048239350705
1119504946197
129423316b01
13471a079b00
14249897c437
1513c5010e3a
hexb3b4a13b1

48239350705 has 144 divisors (see below), whose sum is σ = 81291703680. Its totient is φ = 27217741824.

The previous prime is 48239350699. The next prime is 48239350711. The reversal of 48239350705 is 50705393284.

48239350705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48239350699) and next prime (48239350711).

It is not a de Polignac number, because 48239350705 - 25 = 48239350673 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13372012 + ... + 13375618.

It is an arithmetic number, because the mean of its divisors is an integer number (564525720).

Almost surely, 248239350705 is an apocalyptic number.

It is an amenable number.

48239350705 is a deficient number, since it is larger than the sum of its proper divisors (33052352975).

48239350705 is a wasteful number, since it uses less digits than its factorization.

48239350705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 48239350705 in words is "forty-eight billion, two hundred thirty-nine million, three hundred fifty thousand, seven hundred five".

Divisors: 1 5 7 13 17 19 35 49 65 85 91 95 119 133 169 221 245 247 323 455 595 637 665 833 845 931 1105 1183 1235 1547 1615 1729 2261 2873 3185 3211 3607 4165 4199 4655 5915 7735 8281 8645 10829 11305 12103 14365 15827 16055 18035 20111 20995 22477 25249 29393 41405 46891 54145 54587 60515 61319 68533 79135 100555 112385 126245 140777 146965 157339 176743 205751 234455 272935 306595 328237 342665 382109 429233 479731 609583 703885 786695 797147 883715 890929 1028755 1165061 1641185 1910545 2146165 2297659 2398655 2674763 3004631 3047915 3358117 3985735 4267081 4454645 5580029 5825305 6236503 8155427 10362911 11488295 11582077 13373815 15023155 15145793 16790585 21335405 27900145 29869567 31182515 39060203 40777135 43655521 51814555 57087989 57910385 72540377 75728965 81074539 106020551 149347835 195301015 196895309 218277605 285439945 362701885 405372695 507782639 530102755 567521773 742143857 984476545 1378267163 2538913195 2837608865 3710719285 6891335815 9647870141 48239350705