Base | Representation |
---|---|
bin | 100100000010001001… |
… | …1101101000000000100 |
3 | 21101201212021220101200 |
4 | 1020010103231000010 |
5 | 2231434202412002 |
6 | 55314302022500 |
7 | 5406406320624 |
oct | 1100423550004 |
9 | 241655256350 |
10 | 77381685252 |
11 | 2a8a9a424a3 |
12 | 12bb6b77a30 |
13 | 73b284b851 |
14 | 3a6112a884 |
15 | 202d6c1b1c |
hex | 12044ed004 |
77381685252 has 36 divisors (see below), whose sum is σ = 195619258380. Its totient is φ = 25791844032.
The previous prime is 77381685247. The next prime is 77381685253. The reversal of 77381685252 is 25258618377.
77381685252 is a `hidden beast` number, since 7 + 7 + 381 + 6 + 8 + 5 + 252 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 25120982016 + 52260703236 = 158496^2 + 228606^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is not an unprimeable number, because it can be changed into a prime (77381685253) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413458 + ... + 570710.
Almost surely, 277381685252 is an apocalyptic number.
It is an amenable number.
77381685252 is an abundant number, since it is smaller than the sum of its proper divisors (118237573128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77381685252 is a wasteful number, since it uses less digits than its factorization.
77381685252 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170932 (or 170927 counting only the distinct ones).
The product of its digits is 5644800, while the sum is 54.
The spelling of 77381685252 in words is "seventy-seven billion, three hundred eighty-one million, six hundred eighty-five thousand, two hundred fifty-two".
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