| Base | Representation |
|---|---|
| bin | 11111110100010001… |
| … | …011110011011100000 |
| 3 | 10021011212200212000000 |
| 4 | 133310101132123200 |
| 5 | 1024431211232424 |
| 6 | 23405543300000 |
| 7 | 2316406435200 |
| oct | 376421363340 |
| 9 | 107155625000 |
| 10 | 34162992864 |
| 11 | 13541134200 |
| 12 | 675514a600 |
| 13 | 32b59b45a0 |
| 14 | 19212aa400 |
| 15 | d4e3483c9 |
| hex | 7f445e6e0 |
34162992864 has 1512 divisors, whose sum is σ = 146165622120. Its totient is φ = 7759825920.
The previous prime is 34162992833. The next prime is 34162992881. The reversal of 34162992864 is 46829926143.
34162992864 is a `hidden beast` number, since 3 + 4 + 1 + 629 + 9 + 2 + 8 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1512).
It is a super-2 number, since 2×341629928642 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (4478976) is a multiple of the sum of its prime factors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 34162992864.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1798052247 + ... + 1798052265.
It is an arithmetic number, because the mean of its divisors is an integer number (96670385).
Almost surely, 234162992864 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34162992864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73082811060).
34162992864 is an abundant number, since it is smaller than the sum of its proper divisors (112002629256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34162992864 is a wasteful number, since it uses less digits than its factorization.
34162992864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96 (or 55 counting only the distinct ones).
The product of its digits is 4478976, while the sum is 54.
The spelling of 34162992864 in words is "thirty-four billion, one hundred sixty-two million, nine hundred ninety-two thousand, eight hundred sixty-four".
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