| Base | Representation |
|---|---|
| bin | 1001100011011000001000… |
| … | …10110010000001110000000 |
| 3 | 2202101020010002020020210000 |
| 4 | 10301230010112100032000 |
| 5 | 10223133320021042300 |
| 6 | 112402212115440000 |
| 7 | 4265455021512336 |
| oct | 461540426201600 |
| 9 | 82336102206700 |
| 10 | 21006757987200 |
| 11 | 6769a09269817 |
| 12 | 24333008b6000 |
| 13 | b94c0c6ab46b |
| 14 | 528a38023b56 |
| 15 | 266679a5dc00 |
| hex | 131b04590380 |
21006757987200 has 960 divisors, whose sum is σ = 79779312011520. Its totient is φ = 5440349491200.
The previous prime is 21006757987093. The next prime is 21006757987207. The reversal of 21006757987200 is 278975760012.
It is a happy number.
21006757987200 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 67 + 579 + 8 + 7 + 2 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×210067579872002 (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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (21006757987207) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1595887819 + ... + 1595900981.
It is an arithmetic number, because the mean of its divisors is an integer number (83103450012).
Almost surely, 221006757987200 is an apocalyptic number.
21006757987200 is a gapful number since it is divisible by the number (20) 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 21006757987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39889656005760).
21006757987200 is an abundant number, since it is smaller than the sum of its proper divisors (58772554024320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21006757987200 is a wasteful number, since it uses less digits than its factorization.
21006757987200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13377 (or 13351 counting only the distinct ones).
The product of its (nonzero) digits is 2963520, while the sum is 54.
The spelling of 21006757987200 in words is "twenty-one trillion, six billion, seven hundred fifty-seven million, nine hundred eighty-seven thousand, two hundred".
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