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19688689294848 = 29357192989461
BaseRepresentation
bin1000111101000001000010…
…10101001101111000000000
32120201012221121110010100000
410132200201111031320000
510040034413424413343
6105512505313200000
74101314034466410
oct436404125157000
976635847403300
1019688689294848
116300a20907632
12225b972260000
13aca8350821b2
144c0d1ac8a640
15242234711ed3
hex11e82154de00

19688689294848 has 1920 divisors, whose sum is σ = 74319493248000. Its totient is φ = 5076650557440.

The previous prime is 19688689294837. The next prime is 19688689294849. The reversal of 19688689294848 is 84849298688691.

19688689294848 is a `hidden beast` number, since 1 + 9 + 68 + 8 + 68 + 9 + 2 + 9 + 484 + 8 = 666.

It is a super-2 number, since 2×196886892948482 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19688689294849) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 42708653338 + ... + 42708653798.

It is an arithmetic number, because the mean of its divisors is an integer number (38708069400).

Almost surely, 219688689294848 is an apocalyptic number.

19688689294848 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 19688689294848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37159746624000).

19688689294848 is an abundant number, since it is smaller than the sum of its proper divisors (54630803953152).

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

19688689294848 is an equidigital number, since it uses as much as digits as its factorization.

19688689294848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 610 counting only the distinct ones).

The product of its digits is 27518828544, while the sum is 90.

The spelling of 19688689294848 in words is "nineteen trillion, six hundred eighty-eight billion, six hundred eighty-nine million, two hundred ninety-four thousand, eight hundred forty-eight".