| Base | Representation |
|---|---|
| bin | 1001000101011111101001… |
| … | …00111001011000010000000 |
| 3 | 2121202001212022220211020000 |
| 4 | 10202233310213023002000 |
| 5 | 10104323013140200300 |
| 6 | 110254403412120000 |
| 7 | 4131335642451600 |
| oct | 442576447130200 |
| 9 | 77661768824200 |
| 10 | 19979996803200 |
| 11 | 6403518355235 |
| 12 | 22a8310606000 |
| 13 | b1c14b05a005 |
| 14 | 4d1073782c00 |
| 15 | 249ad3bd7c00 |
| hex | 122bf49cb080 |
19979996803200 has 5760 divisors, whose sum is σ = 97108932911760. Its totient is φ = 4013162496000.
The previous prime is 19979996803141. The next prime is 19979996803201. The reversal of 19979996803200 is 230869997991.
19979996803200 is a `hidden beast` number, since 1 + 99 + 79 + 99 + 68 + 0 + 320 + 0 = 666.
It can be written as a sum of positive squares in 24 ways, for example, as 2358337633344 + 17621659169856 = 1535688^2 + 4197816^2 .
It is a tau number, because it is divible by the number of its divisors (5760).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (19979996803201) 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 719 ways as a sum of consecutive naturals, for example, 327540931170 + ... + 327540931230.
Almost surely, 219979996803200 is an apocalyptic number.
19979996803200 is a gapful number since it is divisible by the number (10) 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 19979996803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48554466455880).
19979996803200 is an abundant number, since it is smaller than the sum of its proper divisors (77128936108560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19979996803200 is a wasteful number, since it uses less digits than its factorization.
19979996803200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 206 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 119042784, while the sum is 72.
The spelling of 19979996803200 in words is "nineteen trillion, nine hundred seventy-nine billion, nine hundred ninety-six million, eight hundred three thousand, two hundred".
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