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20463139441152 = 293319313248909
BaseRepresentation
bin1001010011100011100100…
…01010000100101000000000
32200110020221101000211001000
410221301302022010220000
510140232002144104102
6111304345251412000
74211261446225152
oct451616212045000
980406841024030
1020463139441152
11657a406818061
122365a87bb4000
13b55886906635
1450a5c7c16ad2
1525745e91c01c
hex129c72284a00

20463139441152 has 320 divisors, whose sum is σ = 63964294416000. Its totient is φ = 6441372647424.

The previous prime is 20463139441103. The next prime is 20463139441163. The reversal of 20463139441152 is 25114493136402.

It is a happy number.

20463139441152 is a `hidden beast` number, since 2 + 0 + 4 + 63 + 139 + 441 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20463139441098 and 20463139441107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82086874 + ... + 82335782.

It is an arithmetic number, because the mean of its divisors is an integer number (199888420050).

Almost surely, 220463139441152 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 20463139441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31982147208000).

20463139441152 is an abundant number, since it is smaller than the sum of its proper divisors (43501154974848).

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

20463139441152 is a wasteful number, since it uses less digits than its factorization.

20463139441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249268 (or 249246 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20463139441152 in words is "twenty trillion, four hundred sixty-three billion, one hundred thirty-nine million, four hundred forty-one thousand, one hundred fifty-two".