Search a number
-
+
47163726240 = 2535611610783
BaseRepresentation
bin101011111011001011…
…010101100110100000
311111201220212112110120
4223323023111212200
51233042403214430
633400002200240
73256522026021
oct537313254640
9144656775416
1047163726240
111900276a654
129183053080
1345a8282027
1423d5b86c48
151360892610
hexafb2d59a0

47163726240 has 96 divisors (see below), whose sum is σ = 151001335296. Its totient is φ = 12370805760.

The previous prime is 47163726209. The next prime is 47163726251. The reversal of 47163726240 is 4262736174.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 47163726192 and 47163726201.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 776112 + ... + 834671.

It is an arithmetic number, because the mean of its divisors is an integer number (1572930576).

Almost surely, 247163726240 is an apocalyptic number.

47163726240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47163726240 is an abundant number, since it is smaller than the sum of its proper divisors (103837609056).

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

47163726240 is a wasteful number, since it uses less digits than its factorization.

47163726240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610862 (or 1610854 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 47163726240 in words is "forty-seven billion, one hundred sixty-three million, seven hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 9760 14640 29280 1610783 3221566 4832349 6443132 8053915 9664698 12886264 16107830 19329396 24161745 25772528 32215660 38658792 48323490 51545056 64431320 77317584 96646980 98257763 128862640 154635168 193293960 196515526 257725280 294773289 386587920 393031052 491288815 589546578 773175840 786062104 982577630 1179093156 1473866445 1572124208 1965155260 2358186312 2947732890 3144248416 3930310520 4716372624 5895465780 7860621040 9432745248 11790931560 15721242080 23581863120 47163726240