Search a number
-
+
54486996480 = 2932572172167
BaseRepresentation
bin110010101111101011…
…011001011000000000
312012122021220012122200
4302233223121120000
51343042132341410
641010405233200
73636144554100
oct625753313000
9165567805580
1054486996480
1121120541a04
12a687702800
1351a4542827
1428cc613200
15163d7653c0
hexcafad9600

54486996480 has 1080 divisors, whose sum is σ = 234580954608. Its totient is φ = 11651383296.

The previous prime is 54486996469. The next prime is 54486996517. The reversal of 54486996480 is 8469968445.

54486996480 is a `hidden beast` number, since 5 + 4 + 4 + 8 + 69 + 96 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 326269357 + ... + 326269523.

Almost surely, 254486996480 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 54486996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117290477304).

54486996480 is an abundant number, since it is smaller than the sum of its proper divisors (180093958128).

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

54486996480 is a wasteful number, since it uses less digits than its factorization.

54486996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 54486996480 in words is "fifty-four billion, four hundred eighty-six million, nine hundred ninety-six thousand, four hundred eighty".