Search a number
-
+
54664414000 = 2453725715193
BaseRepresentation
bin110010111010010000…
…001100001100110000
312020002122201221201221
4302322100030030300
51343423042222000
641040144034424
73643430565250
oct627220141460
9166078657657
1054664414000
1121201700359
12a717002a14
135202221101
142907dd7960
15164e10d61a
hexcba40c330

54664414000 has 160 divisors (see below), whose sum is σ = 151658971776. Its totient is φ = 18667929600.

The previous prime is 54664413943. The next prime is 54664414001. The reversal of 54664414000 is 41446645.

It is not an unprimeable number, because it can be changed into a prime (54664414001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3590404 + ... + 3605596.

Almost surely, 254664414000 is an apocalyptic number.

54664414000 is a gapful number since it is divisible by the number (50) 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 54664414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75829485888).

54664414000 is an abundant number, since it is smaller than the sum of its proper divisors (96994557776).

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

54664414000 is a wasteful number, since it uses less digits than its factorization.

54664414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15464 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 54664414000 in words is "fifty-four billion, six hundred sixty-four million, four hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 257 280 350 400 500 514 560 700 875 1000 1028 1285 1400 1750 1799 2000 2056 2570 2800 3500 3598 4112 5140 6425 7000 7196 8995 10280 12850 14000 14392 15193 17990 20560 25700 28784 30386 32125 35980 44975 51400 60772 64250 71960 75965 89950 102800 106351 121544 128500 143920 151930 179900 212702 224875 243088 257000 303860 359800 379825 425404 449750 514000 531755 607720 719600 759650 850808 899500 1063510 1215440 1519300 1701616 1799000 1899125 2127020 2658775 3038600 3598000 3798250 3904601 4254040 5317550 6077200 7596500 7809202 8508080 10635100 13293875 15193000 15618404 19523005 21270200 26587750 27332207 30386000 31236808 39046010 42540400 53175500 54664414 62473616 78092020 97615025 106351000 109328828 136661035 156184040 195230050 212702000 218657656 273322070 312368080 390460100 437315312 488075125 546644140 683305175 780920200 976150250 1093288280 1366610350 1561840400 1952300500 2186576560 2733220700 3416525875 3904601000 5466441400 6833051750 7809202000 10932882800 13666103500 27332207000 54664414000