Search a number
-
+
47411851680 = 25325318710331
BaseRepresentation
bin101100001001111101…
…110111000110100000
311112101012202121120200
4230021331313012200
51234044413223210
633440344305200
73265624042554
oct541175670640
9145335677520
1047411851680
111911a8329a6
129232172200
1346177b940b
14241aad5864
1513775560c0
hexb09f771a0

47411851680 has 144 divisors (see below), whose sum is σ = 161859376224. Its totient is φ = 12637969920.

The previous prime is 47411851661. The next prime is 47411851681. The reversal of 47411851680 is 8615811474.

47411851680 is a `hidden beast` number, since 4 + 7 + 41 + 18 + 516 + 80 = 666.

47411851680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (47411851681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4584115 + ... + 4594445.

It is an arithmetic number, because the mean of its divisors is an integer number (1124023446).

Almost surely, 247411851680 is an apocalyptic number.

47411851680 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 47411851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80929688112).

47411851680 is an abundant number, since it is smaller than the sum of its proper divisors (114447524544).

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

47411851680 is a wasteful number, since it uses less digits than its factorization.

47411851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13539 (or 13528 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 47411851680 in words is "forty-seven billion, four hundred eleven million, eight hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3187 6374 9561 10331 12748 15935 19122 20662 25496 28683 30993 31870 38244 41324 47805 50992 51655 57366 61986 63740 76488 82648 92979 95610 101984 103310 114732 123972 127480 143415 152976 154965 165296 185958 191220 206620 229464 247944 254960 286830 305952 309930 330592 371916 382440 413240 458928 464895 495888 509920 573660 619860 743832 764880 826480 917856 929790 991776 1147320 1239720 1487664 1529760 1652960 1859580 2294640 2479440 2975328 3719160 4589280 4958880 7438320 14876640 32924897 65849794 98774691 131699588 164624485 197549382 263399176 296324073 329248970 395098764 493873455 526798352 592648146 658497940 790197528 987746910 1053596704 1185296292 1316995880 1481620365 1580395056 1975493820 2370592584 2633991760 2963240730 3160790112 3950987640 4741185168 5267983520 5926481460 7901975280 9482370336 11852962920 15803950560 23705925840 47411851680