| Base | Representation |
|---|---|
| bin | 1111001001100001… |
| … | …00100010001000000 |
| 3 | 202222210111022220200 |
| 4 | 13210300210101000 |
| 5 | 113124010412000 |
| 6 | 3423004205200 |
| 7 | 405353354244 |
| oct | 74460442100 |
| 9 | 22883438820 |
| 10 | 8132904000 |
| 11 | 34a38a3171 |
| 12 | 16ab839800 |
| 13 | 9c7c37640 |
| 14 | 5721c2424 |
| 15 | 328eee500 |
| hex | 1e4c24440 |
8132904000 has 336 divisors, whose sum is σ = 31334262960. Its totient is φ = 2001715200.
The previous prime is 8132903981. The next prime is 8132904019. The reversal of 8132904000 is 4092318.
It is an interprime number because it is at equal distance from previous prime (8132903981) and next prime (8132904019).
It can be written as a sum of positive squares in 8 ways, for example, as 2366627904 + 5766276096 = 48648^2 + 75936^2 .
It is a super-2 number, since 2×81329040002 (a number of 21 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931656 + ... + 940344.
It is an arithmetic number, because the mean of its divisors is an integer number (93256735).
Almost surely, 28132904000 is an apocalyptic number.
8132904000 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 8132904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667131480).
8132904000 is an abundant number, since it is smaller than the sum of its proper divisors (23201358960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8132904000 is a wasteful number, since it uses less digits than its factorization.
8132904000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8735 (or 8712 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 8132904000 is about 90182.6147325525. The cubic root of 8132904000 is about 2011.0145616910.
Adding to 8132904000 its reverse (4092318), we get a palindrome (8136996318).
The spelling of 8132904000 in words is "eight billion, one hundred thirty-two million, nine hundred four thousand".
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