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5210334000256 = 277211292604167
BaseRepresentation
bin100101111010010000000…
…0110110111010010000000
3200110002210010122102020211
41023310200012313102000
51140331231001002011
615025332220043504
71045301635156600
oct113644006672200
920402703572224
105210334000256
11172976578a040
1270196a393594
132ba442344398
141402780d0c00
15907ed02bb21
hex4bd201b7480

5210334000256 has 192 divisors, whose sum is σ = 13626569476800. Its totient is φ = 1959999498240.

The previous prime is 5210334000163. The next prime is 5210334000269. The reversal of 5210334000256 is 6520004330125.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 698685 + ... + 3302851.

It is an arithmetic number, because the mean of its divisors is an integer number (70971716025).

Almost surely, 25210334000256 is an apocalyptic number.

5210334000256 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 5210334000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813284738400).

5210334000256 is an abundant number, since it is smaller than the sum of its proper divisors (8416235476544).

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

5210334000256 is a wasteful number, since it uses less digits than its factorization.

5210334000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604235 (or 2604216 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 5210334000256 in words is "five trillion, two hundred ten billion, three hundred thirty-four million, two hundred fifty-six", and thus it is an aban number.