| Base | Representation |
|---|---|
| bin | 11101001101100011000… |
| … | …111000011101101110000 |
| 3 | 21002220111000210222100000 |
| 4 | 131031203013003231300 |
| 5 | 230342140101144330 |
| 6 | 4134105333030000 |
| 7 | 265013360620635 |
| oct | 35154307035560 |
| 9 | 7086430728300 |
| 10 | 2007412521840 |
| 11 | 7043800431a0 |
| 12 | 285072485300 |
| 13 | 1173b517427b |
| 14 | 6d23311018c |
| 15 | 3733db30560 |
| hex | 1d3631c3b70 |
2007412521840 has 1920 divisors, whose sum is σ = 8535773675520. Its totient is φ = 432669081600.
The previous prime is 2007412521787. The next prime is 2007412521859. The reversal of 2007412521840 is 481252147002.
2007412521840 is a `hidden beast` number, since 20 + 0 + 7 + 412 + 5 + 218 + 4 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2007412521795 and 2007412521804.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5296602771 + ... + 5296603149.
It is an arithmetic number, because the mean of its divisors is an integer number (4445715456).
Almost surely, 22007412521840 is an apocalyptic number.
2007412521840 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 2007412521840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267886837760).
2007412521840 is an abundant number, since it is smaller than the sum of its proper divisors (6528361153680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2007412521840 is a wasteful number, since it uses less digits than its factorization.
2007412521840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 513 (or 495 counting only the distinct ones).
The product of its (nonzero) digits is 35840, while the sum is 36.
Adding to 2007412521840 its reverse (481252147002), we get a palindrome (2488664668842).
It can be divided in two parts, 2007412 and 521840, that added together give a palindrome (2529252).
The spelling of 2007412521840 in words is "two trillion, seven billion, four hundred twelve million, five hundred twenty-one thousand, eight hundred forty".
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