| Base | Representation |
|---|---|
| bin | 100110111111011001… |
| … | …0000000000000000000 |
| 3 | 22000010101102121011000 |
| 4 | 1031332302000000000 |
| 5 | 2332440220240130 |
| 6 | 102244330452000 |
| 7 | 6022641166440 |
| oct | 1157662000000 |
| 9 | 260111377130 |
| 10 | 83731415040 |
| 11 | 32568223469 |
| 12 | 14289594000 |
| 13 | 7b85207800 |
| 14 | 40a4576120 |
| 15 | 22a0d8d260 |
| hex | 137ec80000 |
83731415040 has 960 divisors, whose sum is σ = 368427312000. Its totient is φ = 17666408448.
The previous prime is 83731415021. The next prime is 83731415041. The reversal of 83731415040 is 4051413738.
It is a happy number.
83731415040 is a `hidden beast` number, since 8 + 3 + 7 + 3 + 141 + 504 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
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 = 83731414986 and 83731415004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (83731415041) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6440878074 + ... + 6440878086.
It is an arithmetic number, because the mean of its divisors is an integer number (383778450).
Almost surely, 283731415040 is an apocalyptic number.
83731415040 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 83731415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184213656000).
83731415040 is an abundant number, since it is smaller than the sum of its proper divisors (284695896960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83731415040 is an frugal number, since it uses more digits than its factorization.
83731415040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 85 (or 30 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
Adding to 83731415040 its reverse (4051413738), we get a palindrome (87782828778).
The spelling of 83731415040 in words is "eighty-three billion, seven hundred thirty-one million, four hundred fifteen thousand, forty".
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