Base | Representation |
---|---|
bin | 10100000001001010101… |
… | …10011111111110100100 |
3 | 2102202101110100120010000 |
4 | 22000211112133332210 |
5 | 42232124241010000 |
6 | 1243551504101300 |
7 | 100456566424452 |
oct | 12004526377644 |
9 | 2382343316100 |
10 | 687821422500 |
11 | 245781297113 |
12 | b137a004830 |
13 | 4cb2730bb74 |
14 | 2540dabd9d2 |
15 | 12d59d10000 |
hex | a02559ffa4 |
687821422500 has 675 divisors, whose sum is σ = 2396088825669. Its totient is φ = 171974016000.
The previous prime is 687821422493. The next prime is 687821422501. The reversal of 687821422500 is 5224128786.
The square root of 687821422500 is 829350.
It is a perfect power (a square), and thus also a powerful number.
687821422500 is a `hidden beast` number, since 6 + 87 + 8 + 21 + 42 + 2 + 500 = 666.
687821422500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 7 ways, for example, as 557390655396 + 130430767104 = 746586^2 + 361152^2 .
It is a tau number, because it is divible by the number of its divisors (675).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (687821422501) by changing a digit.
It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 7090942452 + ... + 7090942548.
Almost surely, 2687821422500 is an apocalyptic number.
687821422500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
687821422500 is the 829350-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 687821422500
687821422500 is an abundant number, since it is smaller than the sum of its proper divisors (1708267403169).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
687821422500 is an equidigital number, since it uses as much as digits as its factorization.
687821422500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 268 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 430080, while the sum is 45.
The spelling of 687821422500 in words is "six hundred eighty-seven billion, eight hundred twenty-one million, four hundred twenty-two thousand, five hundred".
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