| Base | Representation |
|---|---|
| bin | 1001000101001111100100… |
| … | …00110000110010010100000 |
| 3 | 2121201020120201222200221000 |
| 4 | 10202213302012012102200 |
| 5 | 10104202323322102000 |
| 6 | 110250415051032000 |
| 7 | 4130612014351650 |
| oct | 442476206062240 |
| 9 | 77636521880830 |
| 10 | 19971364644000 |
| 11 | 63aa898764270 |
| 12 | 22a670173b600 |
| 13 | b1b3a386b5c3 |
| 14 | 4d0895160360 |
| 15 | 24977ae6b000 |
| hex | 1229f21864a0 |
19971364644000 has 3072 divisors, whose sum is σ = 95132574351360. Its totient is φ = 3948963840000.
The previous prime is 19971364643987. The next prime is 19971364644013. The reversal of 19971364644000 is 44646317991.
19971364644000 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 136 + 464 + 40 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (19971364643987) and next prime (19971364644013).
It is a super-2 number, since 2×199713646440002 (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 an unprimeable number.
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 511 ways as a sum of consecutive naturals, for example, 14461523310 + ... + 14461524690.
It is an arithmetic number, because the mean of its divisors is an integer number (30967634880).
Almost surely, 219971364644000 is an apocalyptic number.
19971364644000 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 19971364644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47566287175680).
19971364644000 is an abundant number, since it is smaller than the sum of its proper divisors (75161209707360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19971364644000 is a wasteful number, since it uses less digits than its factorization.
19971364644000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1517 (or 1493 counting only the distinct ones).
The product of its (nonzero) digits is 3919104, while the sum is 54.
The spelling of 19971364644000 in words is "nineteen trillion, nine hundred seventy-one billion, three hundred sixty-four million, six hundred forty-four thousand".
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