Search a number
-
+
93144489440 = 2555925738393
BaseRepresentation
bin101011010111111011…
…0000001110111100000
322220102101210022201012
41112233312001313200
53011224442130230
6110442345400052
76505131045152
oct1265766016740
9286371708635
1093144489440
11365586aa5a2
1216075a99028
138a25426412
144718796ad2
152652462395
hex15afd81de0

93144489440 has 96 divisors (see below), whose sum is σ = 224660187360. Its totient is φ = 36482842624.

The previous prime is 93144489401. The next prime is 93144489461. The reversal of 93144489440 is 4498444139.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2406884 + ... + 2445276.

It is an arithmetic number, because the mean of its divisors is an integer number (2340210285).

Almost surely, 293144489440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93144489440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112330093680).

93144489440 is an abundant number, since it is smaller than the sum of its proper divisors (131515697920).

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

93144489440 is a wasteful number, since it uses less digits than its factorization.

93144489440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38724 (or 38716 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 93144489440 in words is "ninety-three billion, one hundred forty-four million, four hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 257 295 472 514 590 944 1028 1180 1285 1888 2056 2360 2570 4112 4720 5140 8224 9440 10280 15163 20560 30326 38393 41120 60652 75815 76786 121304 151630 153572 191965 242608 303260 307144 383930 485216 606520 614288 767860 1213040 1228576 1535720 2265187 2426080 3071440 4530374 6142880 9060748 9867001 11325935 18121496 19734002 22651870 36242992 39468004 45303740 49335005 72485984 78936008 90607480 98670010 157872016 181214960 197340020 315744032 362429920 394680040 582153059 789360080 1164306118 1578720160 2328612236 2910765295 4657224472 5821530590 9314448944 11643061180 18628897888 23286122360 46572244720 93144489440