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55428814350 = 23452713223503
BaseRepresentation
bin110011100111110100…
…001001011000001110
312022001221002111220000
4303213310021120032
51402004234024400
641244051505130
74001402101560
oct634764113016
9168057074800
1055428814350
1121564136688
12a8aabb81a6
1352c46bb300
14297b737330
1516962a2600
hexce7d0960e

55428814350 has 720 divisors, whose sum is σ = 199274245632. Its totient is φ = 11164158720.

The previous prime is 55428814349. The next prime is 55428814367. The reversal of 55428814350 is 5341882455.

55428814350 is a `hidden beast` number, since 5 + 5 + 4 + 288 + 14 + 350 = 666.

55428814350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55428814296 and 55428814305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 110196199 + ... + 110196701.

Almost surely, 255428814350 is an apocalyptic number.

55428814350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55428814350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99637122816).

55428814350 is an abundant number, since it is smaller than the sum of its proper divisors (143845431282).

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

55428814350 is a wasteful number, since it uses less digits than its factorization.

55428814350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 55428814350 in words is "fifty-five billion, four hundred twenty-eight million, eight hundred fourteen thousand, three hundred fifty".