| Base | Representation |
|---|---|
| bin | 100000101101111010… |
| … | …100000010110000000 |
| 3 | 10100200021101102220000 |
| 4 | 200231322200112000 |
| 5 | 1033421243044140 |
| 6 | 24045530520000 |
| 7 | 2352361332420 |
| oct | 405572402600 |
| 9 | 110607342800 |
| 10 | 35130049920 |
| 11 | 13997aa7509 |
| 12 | 6984b96000 |
| 13 | 340b1590b4 |
| 14 | 19b38c0480 |
| 15 | da91bda30 |
| hex | 82dea0580 |
35130049920 has 640 divisors, whose sum is σ = 144667987200. Its totient is φ = 7957647360.
The previous prime is 35130049919. The next prime is 35130049921. The reversal of 35130049920 is 2994003153.
It is a happy number.
35130049920 is a `hidden beast` number, since 35 + 130 + 0 + 499 + 2 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (35130049919) and next prime (35130049921).
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (35130049921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47536911 + ... + 47537649.
It is an arithmetic number, because the mean of its divisors is an integer number (226043730).
Almost surely, 235130049920 is an apocalyptic number.
35130049920 is a gapful number since it is divisible by the number (30) 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 35130049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72333993600).
35130049920 is an abundant number, since it is smaller than the sum of its proper divisors (109537937280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35130049920 is a wasteful number, since it uses less digits than its factorization.
35130049920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 908 (or 887 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The spelling of 35130049920 in words is "thirty-five billion, one hundred thirty million, forty-nine thousand, nine hundred twenty".
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