| Base | Representation |
|---|---|
| bin | 1001000001110101011101… |
| … | …10101111000000011000000 |
| 3 | 2121022001100100220021200000 |
| 4 | 10200322232311320003000 |
| 5 | 10100243022140412041 |
| 6 | 110120532101400000 |
| 7 | 4116265242122550 |
| oct | 440725665700300 |
| 9 | 77261310807600 |
| 10 | 19854272200896 |
| 11 | 636517106a731 |
| 12 | 2287a83709000 |
| 13 | b10332b6c803 |
| 14 | 4c8d48039160 |
| 15 | 2466c6398bb6 |
| hex | 120eaed780c0 |
19854272200896 has 1008 divisors, whose sum is σ = 71390449218816. Its totient is φ = 5358525954048.
The previous prime is 19854272200891. The next prime is 19854272200951. The reversal of 19854272200896 is 69800227245891.
19854272200896 is a `hidden beast` number, since 1 + 9 + 8 + 542 + 7 + 2 + 2 + 0 + 0 + 89 + 6 = 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 (63).
It is not an unprimeable number, because it can be changed into a prime (19854272200891) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21890046075 + ... + 21890046981.
It is an arithmetic number, because the mean of its divisors is an integer number (70823858352).
Almost surely, 219854272200896 is an apocalyptic number.
19854272200896 is a gapful number since it is divisible by the number (16) 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 19854272200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35695224609408).
19854272200896 is an abundant number, since it is smaller than the sum of its proper divisors (51536177017920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19854272200896 is an equidigital number, since it uses as much as digits as its factorization.
19854272200896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1536 (or 1495 counting only the distinct ones).
The product of its (nonzero) digits is 34836480, while the sum is 63.
The spelling of 19854272200896 in words is "nineteen trillion, eight hundred fifty-four billion, two hundred seventy-two million, two hundred thousand, eight hundred ninety-six".
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