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54004621000 = 235311231131889
BaseRepresentation
bin110010010010111011…
…010001111011001000
312011101200012222220011
4302102323101323020
51341100140333000
640450454241304
73621166463431
oct622273217310
9164350188804
1054004621000
11209a3223090
12a572056234
13512861b855
142884528488
15161122e2ba
hexc92ed1ec8

54004621000 has 256 divisors, whose sum is σ = 145202803200. Its totient is φ = 18608128000.

The previous prime is 54004620899. The next prime is 54004621003. The reversal of 54004621000 is 12640045.

54004621000 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 (22).

It is not an unprimeable number, because it can be changed into a prime (54004621003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28588056 + ... + 28589944.

It is an arithmetic number, because the mean of its divisors is an integer number (567198450).

Almost surely, 254004621000 is an apocalyptic number.

54004621000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54004621000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72601401600).

54004621000 is an abundant number, since it is smaller than the sum of its proper divisors (91198182200).

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

54004621000 is a wasteful number, since it uses less digits than its factorization.

54004621000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 54004621000 in words is "fifty-four billion, four million, six hundred twenty-one thousand".