Search a number
-
+
67382905381820 = 22572365479319589
BaseRepresentation
bin11110101001000110011100…
…01000111010001110111100
322211120202001112101021200122
433110203032020322032330
532313000142234204240
6355151140203114112
720123153132306660
oct1724431610721674
9284522045337618
1067382905381820
111a519a25468126
127683312812938
132b7a247043a62
14128d4c86628a0
157bcbb60334b5
hex3d48ce23a3bc

67382905381820 has 96 divisors (see below), whose sum is σ = 168753337804800. Its totient is φ = 22097838115584.

The previous prime is 67382905381819. The next prime is 67382905381837. The reversal of 67382905381820 is 2818350928376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210682586 + ... + 211002174.

It is an arithmetic number, because the mean of its divisors is an integer number (1757847268800).

Almost surely, 267382905381820 is an apocalyptic number.

It is an amenable number.

67382905381820 is an abundant number, since it is smaller than the sum of its proper divisors (101370432422980).

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

67382905381820 is a wasteful number, since it uses less digits than its factorization.

67382905381820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385107 (or 385105 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 62.

The spelling of 67382905381820 in words is "sixty-seven trillion, three hundred eighty-two billion, nine hundred five million, three hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 65479 130958 261916 319589 327395 458353 639178 654790 916706 1278356 1309580 1506017 1597945 1833412 2237123 2291765 3012034 3195890 4474246 4583530 6024068 6391780 7350547 7530085 8948492 9167060 10542119 11185615 14701094 15060170 21084238 22371230 29402188 30120340 36752735 42168476 44742460 51453829 52710595 73505470 102907658 105421190 147010940 205815316 210842380 257269145 514538290 1029076580 20926368131 41852736262 83705472524 104631840655 146484576917 209263681310 292969153834 418527362620 481306467013 585938307668 732422884585 962612934026 1464845769170 1925225868052 2406532335065 2929691538340 3369145269091 4813064670130 6738290538182 9626129340260 13476581076364 16845726345455 33691452690910 67382905381820