Search a number
-
+
66478044654 = 2337477275147
BaseRepresentation
bin111101111010011001…
…100111010111101110
320100120222011120102000
4331322121213113232
52042121334412104
650312315113130
74542250025160
oct757231472756
9210528146360
1066478044654
112621413997a
1210a734427a6
1363658918c8
143308d80930
151ae1318639
hexf7a6675ee

66478044654 has 128 divisors (see below), whose sum is σ = 172696043520. Its totient is φ = 18560428128.

The previous prime is 66478044649. The next prime is 66478044679. The reversal of 66478044654 is 45644087466.

It is a happy number.

66478044654 is a `hidden beast` number, since 66 + 47 + 80 + 4 + 465 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 66478044654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12913309 + ... + 12918455.

It is an arithmetic number, because the mean of its divisors is an integer number (1349187840).

Almost surely, 266478044654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66478044654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86348021760).

66478044654 is an abundant number, since it is smaller than the sum of its proper divisors (106217998866).

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

66478044654 is a wasteful number, since it uses less digits than its factorization.

66478044654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5939 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 66478044654 in words is "sixty-six billion, four hundred seventy-eight million, forty-four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 727 846 987 1269 1454 1974 2181 2538 2961 4362 5089 5147 5922 6543 8883 10178 10294 13086 15267 15441 17766 19629 30534 30882 34169 36029 39258 45801 46323 68338 72058 91602 92646 102507 108087 137403 138969 205014 216174 239183 241909 274806 277938 307521 324261 478366 483818 615042 648522 717549 725727 922563 972783 1435098 1451454 1693363 1845126 1945566 2152647 2177181 3386726 3741869 4305294 4354362 5080089 6457941 6531543 7483738 10160178 11225607 12915882 13063086 15240267 22451214 26193083 30480534 33676821 45720801 52386166 67353642 78579249 91441602 101030463 157158498 175867843 202060926 235737747 351735686 471475494 527603529 707213241 1055207058 1231074901 1414426482 1582810587 2462149802 3165621174 3693224703 4748431761 7386449406 9496863522 11079674109 22159348218 33239022327 66478044654