Search a number
-
+
54798490656 = 2535721322337
BaseRepresentation
bin110011000010001111…
…101001110000100000
312020110000000202100000
4303002033221300200
51344211403200111
641101333500000
73646646325300
oct630217516040
9166400022300
1054798490656
1121270357108
12a753aa1600
135223c36300
14291bb39600
15165ac94c56
hexcc23e9c20

54798490656 has 1296 divisors, whose sum is σ = 218153767104. Its totient is φ = 13450364928.

The previous prime is 54798490639. The next prime is 54798490661. The reversal of 54798490656 is 65609489745.

54798490656 is a `hidden beast` number, since 5 + 4 + 7 + 98 + 490 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 54798490593 and 54798490602.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1481040270 + ... + 1481040306.

It is an arithmetic number, because the mean of its divisors is an integer number (168328524).

Almost surely, 254798490656 is an apocalyptic number.

54798490656 is a gapful number since it is divisible by the number (56) 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 54798490656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109076883552).

54798490656 is an abundant number, since it is smaller than the sum of its proper divisors (163355276448).

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

54798490656 is a wasteful number, since it uses less digits than its factorization.

54798490656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 54798490656 in words is "fifty-four billion, seven hundred ninety-eight million, four hundred ninety thousand, six hundred fifty-six".