Base | Representation |
---|---|
bin | 100000111100101110… |
… | …000101111101110000 |
3 | 10101022120210200202100 |
4 | 200330232011331300 |
5 | 1034423341020014 |
6 | 24130323020400 |
7 | 2361465620610 |
oct | 407456057560 |
9 | 111276720670 |
10 | 35378454384 |
11 | 14005240459 |
12 | 6a3420a700 |
13 | 344a7604a0 |
14 | 19d88a2a40 |
15 | dc0dda009 |
hex | 83cb85f70 |
35378454384 has 960 divisors, whose sum is σ = 137271214080. Its totient is φ = 8241315840.
The previous prime is 35378454373. The next prime is 35378454409. The reversal of 35378454384 is 48345487353.
It is a happy number.
35378454384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 35378454384.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324572922 + ... + 324573030.
It is an arithmetic number, because the mean of its divisors is an integer number (142990848).
Almost surely, 235378454384 is an apocalyptic number.
35378454384 is a gapful number since it is divisible by the number (34) 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 35378454384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68635607040).
35378454384 is an abundant number, since it is smaller than the sum of its proper divisors (101892759696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35378454384 is a wasteful number, since it uses less digits than its factorization.
35378454384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 238 (or 229 counting only the distinct ones).
The product of its digits is 19353600, while the sum is 54.
The spelling of 35378454384 in words is "thirty-five billion, three hundred seventy-eight million, four hundred fifty-four thousand, three hundred eighty-four".
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