Search a number
-
+
48621466088307 = 327109191349106219
BaseRepresentation
bin10110000111000100100010…
…01101101111001101110011
320101011011111120101201222200
423003202101031233031303
522333103230304311212
6251224220531234243
713145533153462650
oct1303422115571563
9211134446351880
1048621466088307
1114546280058752
1255531ba748983
132118ca5171708
14c01411cbac27
15594b513176dc
hex2c389136f373

48621466088307 has 96 divisors (see below), whose sum is σ = 81658536960000. Its totient is φ = 27305945614080.

The previous prime is 48621466088191. The next prime is 48621466088339. The reversal of 48621466088307 is 70388066412684.

48621466088307 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 14 + 6 + 608 + 8 + 3 + 0 + 7 = 666.

It is not a de Polignac number, because 48621466088307 - 216 = 48621466022771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48621466098307) 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, 457694244 + ... + 457800462.

It is an arithmetic number, because the mean of its divisors is an integer number (850609760000).

Almost surely, 248621466088307 is an apocalyptic number.

48621466088307 is a deficient number, since it is larger than the sum of its proper divisors (33037070871693).

48621466088307 is a wasteful number, since it uses less digits than its factorization.

48621466088307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106881 (or 106878 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 48621466088307 in words is "forty-eight trillion, six hundred twenty-one billion, four hundred sixty-six million, eighty-eight thousand, three hundred seven".

Divisors: 1 3 7 9 21 63 109 191 327 349 573 763 981 1047 1337 1719 2289 2443 3141 4011 6867 7329 12033 20819 21987 38041 62457 66659 106219 114123 145733 187371 199977 266287 318657 342369 437199 466613 599931 743533 798861 955971 1311597 1399839 2230599 2396583 4199517 6691797 7265831 11577871 20287829 21797493 34733613 37070431 50860817 60863487 65392479 81045097 104200839 111211293 142014803 152582451 182590461 243135291 259493017 333633879 426044409 457747353 729405873 778479051 1278133227 2211373361 2335437153 4040676979 6634120083 7080452321 12122030937 15479613527 19902360249 21241356963 28284738853 36366092811 46438840581 49563166247 63724070889 84854216559 139316521743 148689498741 254562649677 446068496223 771769302989 2315307908967 5402385120923 6945923726901 16207155362769 48621466088307