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6478049352192 = 293112412713137
BaseRepresentation
bin101111001000100100111…
…0101001001101000000000
3211221021222101201211010220
41132101021311021220000
51322114021113232232
621435550315423040
71236011046651015
oct136211165115000
924837871654126
106478049352192
112078363a82300
128875a5754a80
1337cb53948172
14185779a3b70c
15b379798a42c
hex5e449d49a00

6478049352192 has 480 divisors, whose sum is σ = 19510050776832. Its totient is φ = 1907490816000.

The previous prime is 6478049352091. The next prime is 6478049352223. The reversal of 6478049352192 is 2912539408746.

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 47 ways as a sum of consecutive naturals, for example, 2065044448 + ... + 2065047584.

It is a 2-persistent number, because it is pandigital, and so is 2⋅6478049352192 = 12956098704384, but 3⋅6478049352192 = 19434148056576 is not.

Almost surely, 26478049352192 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 6478049352192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9755025388416).

6478049352192 is an abundant number, since it is smaller than the sum of its proper divisors (13032001424640).

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

6478049352192 is a wasteful number, since it uses less digits than its factorization.

6478049352192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 6478049352192 in words is "six trillion, four hundred seventy-eight billion, forty-nine million, three hundred fifty-two thousand, one hundred ninety-two".