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55578228480 = 2832519318191
BaseRepresentation
bin110011110000101110…
…000111011100000000
312022110100020112112200
4303300232013130000
51402311011302410
641310550153200
74005165101355
oct636056073400
9168410215480
1055578228480
1121630508735
12a931052800
135319643638
14299350c62c
1516a44683c0
hexcf0b87700

55578228480 has 432 divisors, whose sum is σ = 208970711040. Its totient is φ = 13586227200.

The previous prime is 55578228437. The next prime is 55578228487. The reversal of 55578228480 is 8482287555.

55578228480 is a `hidden beast` number, since 5 + 5 + 578 + 2 + 28 + 48 + 0 = 666.

It is a super-3 number, since 3×555782284803 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55578228487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6781185 + ... + 6789375.

Almost surely, 255578228480 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 55578228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104485355520).

55578228480 is an abundant number, since it is smaller than the sum of its proper divisors (153392482560).

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

55578228480 is a wasteful number, since it uses less digits than its factorization.

55578228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 55578228480 in words is "fifty-five billion, five hundred seventy-eight million, two hundred twenty-eight thousand, four hundred eighty".