| Base | Representation |
|---|---|
| bin | 100111100001000011… |
| … | …1111100101001000000 |
| 3 | 22010001010101202021000 |
| 4 | 1033002013330221000 |
| 5 | 2342243434220140 |
| 6 | 102552410532000 |
| 7 | 6062640440400 |
| oct | 1170207745100 |
| 9 | 263033352230 |
| 10 | 84861241920 |
| 11 | 32a97a60094 |
| 12 | 14543a37000 |
| 13 | 80052cc720 |
| 14 | 417063a800 |
| 15 | 231a166a30 |
| hex | 13c21fca40 |
84861241920 has 1344 divisors, whose sum is σ = 397535765760. Its totient is φ = 16832987136.
The previous prime is 84861241901. The next prime is 84861241921. The reversal of 84861241920 is 2914216848.
84861241920 is a `hidden beast` number, since 8 + 4 + 8 + 612 + 4 + 1 + 9 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-3 number, since 3×848612419203 (a number of 34 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (45) 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 (45).
It is not an unprimeable number, because it can be changed into a prime (84861241921) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93562107 + ... + 93563013.
It is an arithmetic number, because the mean of its divisors is an integer number (295785540).
Almost surely, 284861241920 is an apocalyptic number.
84861241920 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 84861241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198767882880).
84861241920 is an abundant number, since it is smaller than the sum of its proper divisors (312674523840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84861241920 is a wasteful number, since it uses less digits than its factorization.
84861241920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 977 (or 954 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 45.
The spelling of 84861241920 in words is "eighty-four billion, eight hundred sixty-one million, two hundred forty-one thousand, nine hundred twenty".
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