Search a number
-
+
47743535730 = 235111959129061
BaseRepresentation
bin101100011101101111…
…001000101001110010
311120020022212220120010
4230131233020221302
51240234321120410
633533313355350
73310062233502
oct543557105162
9146208786503
1047743535730
111927aa88050
129305268b56
13466b42b877
14244cb95a02
151396722c20
hexb1dbc8a72

47743535730 has 128 divisors (see below), whose sum is σ = 133811481600. Its totient is φ = 10779091200.

The previous prime is 47743535717. The next prime is 47743535731. The reversal of 47743535730 is 3753534774.

It is a self number, because there is not a number n which added to its sum of digits gives 47743535730.

It is not an unprimeable number, because it can be changed into a prime (47743535731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305400 + ... + 434460.

It is an arithmetic number, because the mean of its divisors is an integer number (1045402200).

Almost surely, 247743535730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47743535730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66905740800).

47743535730 is an abundant number, since it is smaller than the sum of its proper divisors (86067945870).

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

47743535730 is a wasteful number, since it uses less digits than its factorization.

47743535730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129160.

The product of its (nonzero) digits is 3704400, while the sum is 48.

The spelling of 47743535730 in words is "forty-seven billion, seven hundred forty-three million, five hundred thirty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 59 66 95 110 114 118 165 177 190 209 285 295 330 354 418 570 590 627 649 885 1045 1121 1254 1298 1770 1947 2090 2242 3135 3245 3363 3894 5605 6270 6490 6726 9735 11210 12331 16815 19470 24662 33630 36993 61655 73986 123310 129061 184965 258122 369930 387183 645305 774366 1290610 1419671 1935915 2452159 2839342 3871830 4259013 4904318 7098355 7356477 7614599 8518026 12260795 14196710 14712954 15229198 21295065 22843797 24521590 26973749 36782385 38072995 42590130 45687594 53947498 73564770 76145990 80921247 83760589 114218985 134868745 144677381 161842494 167521178 228437970 251281767 269737490 289354762 404606235 418802945 434032143 502563534 723386905 809212470 837605890 868064286 1256408835 1446773810 1591451191 2170160715 2512817670 3182902382 4340321430 4774353573 7957255955 9548707146 15914511910 23871767865 47743535730