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55482900480 = 21334572389
BaseRepresentation
bin110011101011000010…
…011110000000000000
312022012200212101010000
4303223002132000000
51402112110303410
641253303040000
74002626605230
oct635302360000
9168180771100
1055482900480
1121591718367
12a905140000
135302977537
1429849b5cc0
15169add7dc0
hexceb09e000

55482900480 has 560 divisors, whose sum is σ = 227414388960. Its totient is φ = 12676497408.

The previous prime is 55482900469. The next prime is 55482900481. The reversal of 55482900480 is 8400928455.

55482900480 is a `hidden beast` number, since 5 + 5 + 4 + 82 + 90 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55482900481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23223126 + ... + 23225514.

Almost surely, 255482900480 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 55482900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113707194480).

55482900480 is an abundant number, since it is smaller than the sum of its proper divisors (171931488480).

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

55482900480 is an equidigital number, since it uses as much as digits as its factorization.

55482900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 55482900480 in words is "fifty-five billion, four hundred eighty-two million, nine hundred thousand, four hundred eighty".