| Base | Representation |
|---|---|
| bin | 1001000101001111100000… |
| … | …01110100000000000000000 |
| 3 | 2121201020111112222212010000 |
| 4 | 10202213300032200000000 |
| 5 | 10104202242310321112 |
| 6 | 110250412011040000 |
| 7 | 4130611154022543 |
| oct | 442476016400000 |
| 9 | 77636445885100 |
| 10 | 19971333292032 |
| 11 | 63aa881aa0051 |
| 12 | 22a66b3140000 |
| 13 | b1b39a212145 |
| 14 | 4d0890d1c85a |
| 15 | 2497783267dc |
| hex | 1229f03a0000 |
19971333292032 has 1080 divisors, whose sum is σ = 66373022159136. Its totient is φ = 5971925532672.
The previous prime is 19971333292021. The next prime is 19971333292037. The reversal of 19971333292032 is 23029233317991.
19971333292032 is a `hidden beast` number, since 1 + 9 + 97 + 13 + 332 + 9 + 203 + 2 = 666.
It is a super-2 number, since 2×199713332920322 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 19971333292032.
It is not an unprimeable number, because it can be changed into a prime (19971333292037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70570082163 + ... + 70570082445.
Almost surely, 219971333292032 is an apocalyptic number.
19971333292032 is a gapful number since it is divisible by the number (12) 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 19971333292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33186511079568).
19971333292032 is an abundant number, since it is smaller than the sum of its proper divisors (46401688867104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19971333292032 is an frugal number, since it uses more digits than its factorization.
19971333292032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 328 counting only the distinct ones).
The product of its (nonzero) digits is 3306744, while the sum is 54.
The spelling of 19971333292032 in words is "nineteen trillion, nine hundred seventy-one billion, three hundred thirty-three million, two hundred ninety-two thousand, thirty-two".
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