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55294000128 = 2103267149601
BaseRepresentation
bin110011011111110001…
…110111110000000000
312021201112102020112200
4303133301313300000
51401220231001003
641222434153200
73665144150313
oct633761676000
9167645366480
1055294000128
11214a5026774
12a871a22800
1352a27a8493
14296788297a
1516895226a3
hexcdfc77c00

55294000128 has 264 divisors, whose sum is σ = 163402184400. Its totient is φ = 18004377600.

The previous prime is 55294000087. The next prime is 55294000129. The reversal of 55294000128 is 82100049255.

55294000128 is a `hidden beast` number, since 5 + 529 + 4 + 0 + 0 + 0 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55294000092 and 55294000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55294000129) 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 23 ways as a sum of consecutive naturals, for example, 92003028 + ... + 92003628.

Almost surely, 255294000128 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 55294000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81701092200).

55294000128 is an abundant number, since it is smaller than the sum of its proper divisors (108108184272).

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

55294000128 is a wasteful number, since it uses less digits than its factorization.

55294000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 55294000128 in words is "fifty-five billion, two hundred ninety-four million, one hundred twenty-eight", and thus it is an aban number.