Search a number
-
+
47834240560 = 2455929033491
BaseRepresentation
bin101100100011001001…
…001001011000110000
311120110122120012012021
4230203021021120300
51240431031144220
633550313441224
73312243223201
oct544311113060
9146418505167
1047834240560
11193171aaa17
12932b710214
134684169572
14245ac475a8
15139e68d4aa
hexb23249630

47834240560 has 80 divisors (see below), whose sum is σ = 113170970880. Its totient is φ = 18797530880.

The previous prime is 47834240551. The next prime is 47834240567. The reversal of 47834240560 is 6504243874.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×478342405602 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47834240567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13700415 + ... + 13703905.

It is an arithmetic number, because the mean of its divisors is an integer number (1414637136).

Almost surely, 247834240560 is an apocalyptic number.

47834240560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47834240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56585485440).

47834240560 is an abundant number, since it is smaller than the sum of its proper divisors (65336730320).

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

47834240560 is a wasteful number, since it uses less digits than its factorization.

47834240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6460 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 47834240560 in words is "forty-seven billion, eight hundred thirty-four million, two hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 2903 3491 4720 5806 6982 11612 13964 14515 17455 23224 27928 29030 34910 46448 55856 58060 69820 116120 139640 171277 205969 232240 279280 342554 411938 685108 823876 856385 1029845 1370216 1647752 1712770 2059690 2740432 3295504 3425540 4119380 6851080 8238760 10134373 13702160 16477520 20268746 40537492 50671865 81074984 101343730 162149968 202687460 405374920 597928007 810749840 1195856014 2391712028 2989640035 4783424056 5979280070 9566848112 11958560140 23917120280 47834240560