Base | Representation |
---|---|
bin | 100010100111000001… |
… | …011111000010000000 |
3 | 10112220212201021022222 |
4 | 202213001133002000 |
5 | 1102101423011223 |
6 | 25023312550212 |
7 | 2453623062632 |
oct | 424701370200 |
9 | 115825637288 |
10 | 37161922688 |
11 | 1483aa33600 |
12 | 7251552368 |
13 | 36730b2987 |
14 | 1b276b4a52 |
15 | e7777a0c8 |
hex | 8a705f080 |
37161922688 has 72 divisors (see below), whose sum is σ = 81428253165. Its totient is φ = 16880878080.
The previous prime is 37161922657. The next prime is 37161922691. The reversal of 37161922688 is 88622916173.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 36163868224 + 998054464 = 190168^2 + 31592^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=136312.
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23990138 + ... + 23991686.
Almost surely, 237161922688 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 37161922688
37161922688 is an abundant number, since it is smaller than the sum of its proper divisors (44266330477).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37161922688 is an frugal number, since it uses more digits than its factorization.
37161922688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3134 (or 1562 counting only the distinct ones).
The product of its digits is 1741824, while the sum is 53.
The spelling of 37161922688 in words is "thirty-seven billion, one hundred sixty-one million, nine hundred twenty-two thousand, six hundred eighty-eight".
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