| Base | Representation |
|---|---|
| bin | 11000110100011101111… |
| … | …01011111000000000000 |
| 3 | 10000112020020102121200000 |
| 4 | 30122032331133000000 |
| 5 | 102433014303211130 |
| 6 | 1451434414400000 |
| 7 | 115420141312344 |
| oct | 14321675370000 |
| 9 | 3015206377600 |
| 10 | 852802007040 |
| 11 | 2a9742556145 |
| 12 | 119341800000 |
| 13 | 6255a39a019 |
| 14 | 2d3c0c7d624 |
| 15 | 172b3b6b260 |
| hex | c68ef5f000 |
852802007040 has 1248 divisors, whose sum is σ = 3348847756800. Its totient is φ = 207346728960.
The previous prime is 852802007039. The next prime is 852802007077. The reversal of 852802007040 is 40700208258.
It is a happy number.
852802007040 is a `hidden beast` number, since 8 + 528 + 0 + 20 + 0 + 70 + 40 = 666.
It is a super-2 number, since 2×8528020070402 (a number of 25 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 852802006986 and 852802007004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2742128485 + ... + 2742128795.
It is an arithmetic number, because the mean of its divisors is an integer number (2683371600).
Almost surely, 2852802007040 is an apocalyptic number.
852802007040 is a gapful number since it is divisible by the number (80) 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 852802007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674423878400).
852802007040 is an abundant number, since it is smaller than the sum of its proper divisors (2496045749760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
852802007040 is a wasteful number, since it uses less digits than its factorization.
852802007040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 403 (or 369 counting only the distinct ones).
The product of its (nonzero) digits is 35840, while the sum is 36.
The spelling of 852802007040 in words is "eight hundred fifty-two billion, eight hundred two million, seven thousand, forty".
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