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20403120647808 = 27353743715807
BaseRepresentation
bin1001010001110011110001…
…10000100010111010000000
32200020112000120002012200000
410220321320300202322000
510133241042341212213
6111221021512400000
74204035231005313
oct450717060427200
980215016065600
1020403120647808
116556a07774308
1223563179a6000
13b500102c9332
14507732a7097a
15255aea705c73
hex128e78c22e80

20403120647808 has 768 divisors, whose sum is σ = 64898841047040. Its totient is φ = 6371208990720.

The previous prime is 20403120647731. The next prime is 20403120647843. The reversal of 20403120647808 is 80874602130402.

It is a happy number.

20403120647808 is a `hidden beast` number, since 2 + 0 + 403 + 120 + 6 + 47 + 80 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3513536041 + ... + 3513541847.

It is an arithmetic number, because the mean of its divisors is an integer number (84503699280).

Almost surely, 220403120647808 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 20403120647808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32449420523520).

20403120647808 is an abundant number, since it is smaller than the sum of its proper divisors (44495720399232).

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

20403120647808 is an equidigital number, since it uses as much as digits as its factorization.

20403120647808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20403120647808 in words is "twenty trillion, four hundred three billion, one hundred twenty million, six hundred forty-seven thousand, eight hundred eight".