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5004337212336 = 24372113123926107
BaseRepresentation
bin100100011010010100110…
…1111011110101110110000
3122201102001212100100020010
41020310221233132232300
51123442340311243321
614350543310014520
71024360066313100
oct110645157365660
918642055310203
105004337212336
11165a366991370
12689a5a4a7440
132a3ba38124b7
141342d57d9200
158a2933a6676
hex48d29bdebb0

5004337212336 has 480 divisors, whose sum is σ = 17006408663040. Its totient is φ = 1252586764800.

The previous prime is 5004337212323. The next prime is 5004337212341. The reversal of 5004337212336 is 6332127334005.

It is a junction number, because it is equal to n+sod(n) for n = 5004337212294 and 5004337212303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191672595 + ... + 191698701.

It is an arithmetic number, because the mean of its divisors is an integer number (35430018048).

Almost surely, 25004337212336 is an apocalyptic number.

5004337212336 is a gapful number since it is divisible by the number (56) 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 5004337212336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503204331520).

5004337212336 is an abundant number, since it is smaller than the sum of its proper divisors (12002071450704).

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

5004337212336 is a wasteful number, since it uses less digits than its factorization.

5004337212336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26413 (or 26400 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 39.

The spelling of 5004337212336 in words is "five trillion, four billion, three hundred thirty-seven million, two hundred twelve thousand, three hundred thirty-six".