| Base | Representation |
|---|---|
| bin | 100110101101010001… |
| … | …1000000011000000000 |
| 3 | 21221120000112112212000 |
| 4 | 1031122203000120000 |
| 5 | 2330214104122030 |
| 6 | 102104133104000 |
| 7 | 6001610063061 |
| oct | 1153243003000 |
| 9 | 257500475760 |
| 10 | 83123504640 |
| 11 | 32286062380 |
| 12 | 14139a88000 |
| 13 | 7ab929c507 |
| 14 | 4047930568 |
| 15 | 226780b860 |
| hex | 135a8c0600 |
83123504640 has 1280 divisors, whose sum is σ = 350013312000. Its totient is φ = 18473287680.
The previous prime is 83123504627. The next prime is 83123504647. The reversal of 83123504640 is 4640532138.
83123504640 is a `hidden beast` number, since 8 + 3 + 1 + 2 + 3 + 5 + 0 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (1280).
It is a super-2 number, since 2×831235046402 (a number of 23 digits) contains 22 as substring.
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 = 83123504595 and 83123504604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (83123504647) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 762600906 + ... + 762601014.
It is an arithmetic number, because the mean of its divisors is an integer number (273447900).
Almost surely, 283123504640 is an apocalyptic number.
83123504640 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 83123504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175006656000).
83123504640 is an abundant number, since it is smaller than the sum of its proper divisors (266889807360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83123504640 is a wasteful number, since it uses less digits than its factorization.
83123504640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 228 (or 206 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The spelling of 83123504640 in words is "eighty-three billion, one hundred twenty-three million, five hundred four thousand, six hundred forty".
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