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20426641589376 = 27331123187912433
BaseRepresentation
bin1001010010011111100101…
…01101110100010010000000
32200022202201202212211202000
410221033302231310102000
510134132230221330001
6111235511500024000
74205530135502061
oct451176255642200
980282652784660
1020426641589376
1165659877238a0
12235a9a0b32000
13b522bb293439
14508924806568
15256525618a86
hex1293f2b74480

20426641589376 has 512 divisors, whose sum is σ = 68669102592000. Its totient is φ = 5917138698240.

The previous prime is 20426641589327. The next prime is 20426641589467. The reversal of 20426641589376 is 67398514662402.

20426641589376 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 6 + 6 + 41 + 589 + 3 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1642931256 + ... + 1642943688.

It is an arithmetic number, because the mean of its divisors is an integer number (134119341000).

It is a 1-persistent number, because it is pandigital, but 2⋅20426641589376 = 40853283178752 is not.

Almost surely, 220426641589376 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 20426641589376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34334551296000).

20426641589376 is an abundant number, since it is smaller than the sum of its proper divisors (48242461002624).

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

20426641589376 is a wasteful number, since it uses less digits than its factorization.

20426641589376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14369 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 20426641589376 in words is "twenty trillion, four hundred twenty-six billion, six hundred forty-one million, five hundred eighty-nine thousand, three hundred seventy-six".