| Base | Representation |
|---|---|
| bin | 111011100111110011001… |
| … | …011111110001100000000 |
| 3 | 112111200112210020000220000 |
| 4 | 323213303023332030000 |
| 5 | 1014112013030204010 |
| 6 | 12414115324520000 |
| 7 | 602004014655513 |
| oct | 73476313761400 |
| 9 | 15450483200800 |
| 10 | 4097183834880 |
| 11 | 133a673509184 |
| 12 | 56208a6b0000 |
| 13 | 23949403b186 |
| 14 | 10243a36cd7a |
| 15 | 7189cd657c0 |
| hex | 3b9f32fe300 |
4097183834880 has 1440 divisors, whose sum is σ = 15720594075648. Its totient is φ = 1017026150400.
The previous prime is 4097183834867. The next prime is 4097183834881. The reversal of 4097183834880 is 884383817904.
4097183834880 is a `hidden beast` number, since 4 + 0 + 9 + 71 + 8 + 3 + 83 + 488 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×40971838348802 (a number of 26 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (4097183834881) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15578645629 + ... + 15578645891.
Almost surely, 24097183834880 is an apocalyptic number.
4097183834880 is a gapful number since it is divisible by the number (40) 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 4097183834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860297037824).
4097183834880 is an abundant number, since it is smaller than the sum of its proper divisors (11623410240768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4097183834880 is a wasteful number, since it uses less digits than its factorization.
4097183834880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 495 (or 472 counting only the distinct ones).
The product of its (nonzero) digits is 37158912, while the sum is 63.
The spelling of 4097183834880 in words is "four trillion, ninety-seven billion, one hundred eighty-three million, eight hundred thirty-four thousand, eight hundred eighty".
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