Base | Representation |
---|---|
bin | 10110101111101000… |
… | …00101111110100100 |
3 | 1011111222120102110000 |
4 | 23113310011332210 |
5 | 200001414121004 |
6 | 5335353301300 |
7 | 611410112100 |
oct | 132764057644 |
9 | 34458512400 |
10 | 12210692004 |
11 | 51a66876a5 |
12 | 2449404830 |
13 | 11c79c3654 |
14 | 83b9c4900 |
15 | 4b6edcc39 |
hex | 2d7d05fa4 |
12210692004 has 135 divisors (see below), whose sum is σ = 37175167953. Its totient is φ = 3484791072.
The previous prime is 12210691901. The next prime is 12210692029. The reversal of 12210692004 is 40029601221.
The square root of 12210692004 is 110502.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 10288044900 + 1922647104 = 101430^2 + 43848^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
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 44 ways as a sum of consecutive naturals, for example, 13922814 + ... + 13923690.
Almost surely, 212210692004 is an apocalyptic number.
12210692004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
12210692004 is the 110502-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12210692004
12210692004 is an abundant number, since it is smaller than the sum of its proper divisors (24964475949).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12210692004 is an frugal number, since it uses more digits than its factorization.
12210692004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1784 (or 889 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The spelling of 12210692004 in words is "twelve billion, two hundred ten million, six hundred ninety-two thousand, four".
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