Search a number
-
+
54836466048 = 2734721319223
BaseRepresentation
bin110011000100100000…
…100001000110000000
312020112122111002210000
4303010200201012000
51344301113403143
641105211440000
73650620161600
oct630440410600
9166478432700
1054836466048
112128a834631
12a764756000
13522ba71460
142922bc2c00
15165e296bd3
hexcc4821180

54836466048 has 1440 divisors, whose sum is σ = 225146219760. Its totient is φ = 13105483776.

The previous prime is 54836466017. The next prime is 54836466049. The reversal of 54836466048 is 84066463845.

54836466048 is a `hidden beast` number, since 5 + 483 + 64 + 6 + 60 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54836465985 and 54836466003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54836466049) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2384194165 + ... + 2384194187.

Almost surely, 254836466048 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 54836466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112573109880).

54836466048 is an abundant number, since it is smaller than the sum of its proper divisors (170309753712).

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

54836466048 is a wasteful number, since it uses less digits than its factorization.

54836466048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 54836466048 in words is "fifty-four billion, eight hundred thirty-six million, four hundred sixty-six thousand, forty-eight".