Search a number
-
+
54090217248 = 25323137178813
BaseRepresentation
bin110010011000000001…
…110011011100100000
312011121122021201212120
4302120001303130200
51341234043422443
640503153024240
73623256155244
oct623001633440
9164548251776
1054090217248
1120a37576891
12a596855080
13514028b212
142891a4a424
1516189db083
hexc98073720

54090217248 has 96 divisors (see below), whose sum is σ = 149242455936. Its totient is φ = 17120176128.

The previous prime is 54090217213. The next prime is 54090217267. The reversal of 54090217248 is 84271209045.

It is a tau number, because it is divible by the number of its divisors (96).

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, 213090 + ... + 391902.

It is an arithmetic number, because the mean of its divisors is an integer number (1554608916).

Almost surely, 254090217248 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 54090217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74621227968).

54090217248 is an abundant number, since it is smaller than the sum of its proper divisors (95152238688).

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

54090217248 is a wasteful number, since it uses less digits than its factorization.

54090217248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178986 (or 178978 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 54090217248 in words is "fifty-four billion, ninety million, two hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 137 138 184 274 276 368 411 548 552 736 822 1096 1104 1644 2192 2208 3151 3288 4384 6302 6576 9453 12604 13152 18906 25208 37812 50416 75624 100832 151248 178813 302496 357626 536439 715252 1072878 1430504 2145756 2861008 4112699 4291512 5722016 8225398 8583024 12338097 16450796 17166048 24497381 24676194 32901592 48994762 49352388 65803184 73492143 97989524 98704776 131606368 146984286 195979048 197409552 293968572 391958096 394819104 563439763 587937144 783916192 1126879526 1175874288 1690319289 2253759052 2351748576 3380638578 4507518104 6761277156 9015036208 13522554312 18030072416 27045108624 54090217248