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500004472128 = 263747101109719
BaseRepresentation
bin1110100011010101001…
…01101100010101000000
31202210121011121220211220
413101222211230111000
531143002121102003
61021410543035040
751060401613540
oct7215245542500
91683534556756
10500004472128
11183061542477
1280aa259ba80
13381c50554c5
141a2b3a69320
15d016218353
hex746a96c540

500004472128 has 448 divisors, whose sum is σ = 1575869644800. Its totient is φ = 136973721600.

The previous prime is 500004472057. The next prime is 500004472129. The reversal of 500004472128 is 821274400005.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500004472129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695416153 + ... + 695416871.

Almost surely, 2500004472128 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 500004472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787934822400).

500004472128 is an abundant number, since it is smaller than the sum of its proper divisors (1075865172672).

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

500004472128 is a wasteful number, since it uses less digits than its factorization.

500004472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 500004472128 in words is "five hundred billion, four million, four hundred seventy-two thousand, one hundred twenty-eight".