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48458121705 = 3257379742863
BaseRepresentation
bin101101001000010101…
…000100000111101001
311122002010111122020100
4231020111010013221
51243220234343310
634132241420013
73333560144520
oct551025040751
9148063448210
1048458121705
111960738a074
12948463a609
1347534a6cc6
1424b9a494b7
1513d9326ec0
hexb485441e9

48458121705 has 96 divisors (see below), whose sum is σ = 99606334464. Its totient is φ = 21330874368.

The previous prime is 48458121659. The next prime is 48458121737. The reversal of 48458121705 is 50712185484.

48458121705 is a `hidden beast` number, since 4 + 8 + 458 + 121 + 70 + 5 = 666.

It is not a de Polignac number, because 48458121705 - 211 = 48458119657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1109104 + ... + 1151966.

It is an arithmetic number, because the mean of its divisors is an integer number (1037565984).

Almost surely, 248458121705 is an apocalyptic number.

48458121705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48458121705 is an abundant number, since it is smaller than the sum of its proper divisors (51148212759).

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

48458121705 is a wasteful number, since it uses less digits than its factorization.

48458121705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43015 (or 43012 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 48458121705 in words is "forty-eight billion, four hundred fifty-eight million, one hundred twenty-one thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 97 105 111 185 259 291 315 333 485 555 679 777 873 1295 1455 1665 2037 2331 3395 3589 3885 4365 6111 10185 10767 11655 17945 25123 30555 32301 42863 53835 75369 125615 128589 161505 214315 226107 300041 376845 385767 642945 900123 1130535 1500205 1585931 1928835 2700369 4157711 4500615 4757793 7929655 11101517 12473133 13501845 14273379 20788555 23788965 29103977 33304551 37419399 55507585 62365665 71366895 87311931 99913653 145519885 153835307 166522755 187096995 261935793 436559655 461505921 499568265 769176535 1076847149 1309678965 1384517763 2307529605 3230541447 5384235745 6922588815 9691624341 16152707235 48458121705