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94463140320 = 2532571991237
BaseRepresentation
bin101011111111001110…
…0010010000111100000
3100000211022001201122200
41113332130102013200
53021430030442240
6111221252533200
76552612305313
oct1277634220740
9300738051580
1094463140320
1137074a8650a
1216383621200
138ba5691703
14480197097a
1526cd0d8930
hex15fe7121e0

94463140320 has 144 divisors (see below), whose sum is σ = 322807343040. Its totient is φ = 25154860032.

The previous prime is 94463140307. The next prime is 94463140379. The reversal of 94463140320 is 2304136449.

It is a happy number.

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 (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 989742 + ... + 1080978.

It is an arithmetic number, because the mean of its divisors is an integer number (2241717660).

Almost surely, 294463140320 is an apocalyptic number.

94463140320 is a gapful number since it is divisible by the number (90) 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 94463140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161403671520).

94463140320 is an abundant number, since it is smaller than the sum of its proper divisors (228344202720).

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

94463140320 is a wasteful number, since it uses less digits than its factorization.

94463140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91977 (or 91966 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 94463140320 its reverse (2304136449), we get a palindrome (96767276769).

The spelling of 94463140320 in words is "ninety-four billion, four hundred sixty-three million, one hundred forty thousand, three hundred twenty".

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 96 120 144 160 180 240 288 360 480 719 720 1438 1440 2157 2876 3595 4314 5752 6471 7190 8628 10785 11504 12942 14380 17256 21570 23008 25884 28760 32355 34512 43140 51768 57520 64710 69024 86280 91237 103536 115040 129420 172560 182474 207072 258840 273711 345120 364948 456185 517680 547422 729896 821133 912370 1035360 1094844 1368555 1459792 1642266 1824740 2189688 2737110 2919584 3284532 3649480 4105665 4379376 5474220 6569064 7298960 8211330 8758752 10948440 13138128 14597920 16422660 21896880 26276256 32845320 43793760 65599403 65690640 131198806 131381280 196798209 262397612 327997015 393596418 524795224 590394627 655994030 787192836 983991045 1049590448 1180789254 1311988060 1574385672 1967982090 2099180896 2361578508 2623976120 2951973135 3148771344 3935964180 4723157016 5247952240 5903946270 6297542688 7871928360 9446314032 10495904480 11807892540 15743856720 18892628064 23615785080 31487713440 47231570160 94463140320