Search a number
-
+
54289373760 = 2632521378821
BaseRepresentation
bin110010100011111001…
…100001101001000000
312012010112000221020200
4302203321201221000
51342141034430020
640535025405200
73631225030416
oct624371415100
9165115027220
1054289373760
1121029a33046
12a631499800
13517260b5cb
1428b028d2b6
15162b22a590
hexca3e61a40

54289373760 has 168 divisors, whose sum is σ = 186841385016. Its totient is φ = 14468751360.

The previous prime is 54289373731. The next prime is 54289373807. The reversal of 54289373760 is 6737398245.

54289373760 is a `hidden beast` number, since 5 + 428 + 93 + 73 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 584092224 + 53705281536 = 24168^2 + 231744^2 .

It is a super-2 number, since 2×542893737602 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54289373697 and 54289373706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6150150 + ... + 6158970.

Almost surely, 254289373760 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 54289373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93420692508).

54289373760 is an abundant number, since it is smaller than the sum of its proper divisors (132552011256).

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

54289373760 is a wasteful number, since it uses less digits than its factorization.

54289373760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10981 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 54289373760 in words is "fifty-four billion, two hundred eighty-nine million, three hundred seventy-three thousand, seven hundred sixty".