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55428111648 = 25337213261127
BaseRepresentation
bin110011100111110001…
…011101110100100000
312022001212202210222000
4303213301131310200
51402004044033043
641244024444000
74001363114100
oct634761356440
9168055683860
1055428111648
11215637a6738
12a8aa919600
1352c4503500
14297b5d3200
1516961b42d3
hexce7c5dd20

55428111648 has 864 divisors, whose sum is σ = 208606648320. Its totient is φ = 14265538560.

The previous prime is 55428111647. The next prime is 55428111649. The reversal of 55428111648 is 84611182455.

55428111648 is a `hidden beast` number, since 55 + 428 + 11 + 164 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (55428111647) and next prime (55428111649).

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (55428111643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 436441761 + ... + 436441887.

It is an arithmetic number, because the mean of its divisors is an integer number (241442880).

Almost surely, 255428111648 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 55428111648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104303324160).

55428111648 is an abundant number, since it is smaller than the sum of its proper divisors (153178536672).

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

55428111648 is a wasteful number, since it uses less digits than its factorization.

55428111648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The spelling of 55428111648 in words is "fifty-five billion, four hundred twenty-eight million, one hundred eleven thousand, six hundred forty-eight".