Search a number
-
+
47478675680 = 2554112756989
BaseRepresentation
bin101100001101111100…
…110001100011100000
311112112212111121212122
4230031330301203200
51234214020110210
633451132443412
73300365040662
oct541574614340
9145485447778
1047478675680
1119154524847
129250619568
1346285b5447
14242592c532
15137d355b55
hexb0df318e0

47478675680 has 96 divisors (see below), whose sum is σ = 115810974720. Its totient is φ = 18382049280.

The previous prime is 47478675667. The next prime is 47478675689. The reversal of 47478675680 is 8657687474.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47478675689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804626 + ... + 861614.

It is an arithmetic number, because the mean of its divisors is an integer number (1206364320).

Almost surely, 247478675680 is an apocalyptic number.

47478675680 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 47478675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57905487360).

47478675680 is an abundant number, since it is smaller than the sum of its proper divisors (68332299040).

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

47478675680 is a wasteful number, since it uses less digits than its factorization.

47478675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57172 (or 57164 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 62.

The spelling of 47478675680 in words is "forty-seven billion, four hundred seventy-eight million, six hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 127 160 164 205 254 328 410 508 635 656 820 1016 1270 1312 1640 2032 2540 3280 4064 5080 5207 6560 10160 10414 20320 20828 26035 41656 52070 56989 83312 104140 113978 166624 208280 227956 284945 416560 455912 569890 833120 911824 1139780 1823648 2279560 2336549 4559120 4673098 7237603 9118240 9346196 11682745 14475206 18692392 23365490 28950412 36188015 37384784 46730980 57900824 72376030 74769568 93461960 115801648 144752060 186923920 231603296 289504120 296741723 373847840 579008240 593483446 1158016480 1186966892 1483708615 2373933784 2967417230 4747867568 5934834460 9495735136 11869668920 23739337840 47478675680