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19964988304128 = 28367197111329
BaseRepresentation
bin1001000101000011101100…
…00010010010101100000000
32121200122010100210002000000
410202201312002102230000
510104101244001213003
6110243442232000000
74130265010353540
oct442416602225400
977618110702000
1019964988304128
1163a811645879a
1222a5422230000
13b1a8c882662a
144d044c389320
152495062951a3
hex122876092b00

19964988304128 has 1008 divisors, whose sum is σ = 72899315596800. Its totient is φ = 5327473213440.

The previous prime is 19964988304099. The next prime is 19964988304133. The reversal of 19964988304128 is 82140388946991.

19964988304128 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 498 + 8 + 3 + 0 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1762284768 + ... + 1762296096.

It is an arithmetic number, because the mean of its divisors is an integer number (72320749600).

Almost surely, 219964988304128 is an apocalyptic number.

19964988304128 is a gapful number since it is divisible by the number (18) 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 19964988304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36449657798400).

19964988304128 is an abundant number, since it is smaller than the sum of its proper divisors (52934327292672).

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

19964988304128 is an equidigital number, since it uses as much as digits as its factorization.

19964988304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11460 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 19964988304128 in words is "nineteen trillion, nine hundred sixty-four billion, nine hundred eighty-eight million, three hundred four thousand, one hundred twenty-eight".