| Base | Representation |
|---|---|
| bin | 10011001100000011001100… |
| … | …100010011011001010000000 |
| 3 | 102001210200210100002001200000 |
| 4 | 103030003030202123022000 |
| 5 | 42030130130421224000 |
| 6 | 455252400004400000 |
| 7 | 23530021246634625 |
| oct | 2314031442331200 |
| 9 | 361720710061600 |
| 10 | 84390949008000 |
| 11 | 24987000713928 |
| 12 | 956b6460a6000 |
| 13 | 38120560a3bcb |
| 14 | 16ba787daa34c |
| 15 | 9b53078dc000 |
| hex | 4cc0cc89b280 |
84390949008000 has 1536 divisors, whose sum is σ = 329980927610880. Its totient is φ = 21393123840000.
The previous prime is 84390949007993. The next prime is 84390949008007. The reversal of 84390949008000 is 80094909348.
84390949008000 is a `hidden beast` number, since 8 + 4 + 390 + 94 + 90 + 0 + 80 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (84390949007993) and next prime (84390949008007).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (84390949008007) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 14933805175 + ... + 14933810825.
It is an arithmetic number, because the mean of its divisors is an integer number (214831333080).
Almost surely, 284390949008000 is an apocalyptic number.
84390949008000 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 84390949008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164990463805440).
84390949008000 is an abundant number, since it is smaller than the sum of its proper divisors (245589978602880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84390949008000 is a wasteful number, since it uses less digits than its factorization.
84390949008000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5885 (or 5851 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The spelling of 84390949008000 in words is "eighty-four trillion, three hundred ninety billion, nine hundred forty-nine million, eight thousand".
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