Base | Representation |
---|---|
bin | 100010101110111001… |
… | …011001100110001000 |
3 | 10120021002021120011001 |
4 | 202232321121212020 |
5 | 1102334232133000 |
6 | 25044352144344 |
7 | 2460115643125 |
oct | 425671314610 |
9 | 116232246131 |
10 | 37294021000 |
11 | 148a8558a65 |
12 | 72898380b4 |
13 | 3694584562 |
14 | 1b3b05d74c |
15 | e8417046a |
hex | 8aee59988 |
37294021000 has 128 divisors (see below), whose sum is σ = 88712638560. Its totient is φ = 14671872000.
The previous prime is 37294020949. The next prime is 37294021013. The reversal of 37294021000 is 12049273.
It can be written as a sum of positive squares in 16 ways, for example, as 84382596 + 37209638404 = 9186^2 + 192898^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 37294021000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46792602 + ... + 46793398.
Almost surely, 237294021000 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 37294021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44356319280).
37294021000 is an abundant number, since it is smaller than the sum of its proper divisors (51418617560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37294021000 is a wasteful number, since it uses less digits than its factorization.
37294021000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1532 (or 1518 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 28.
The spelling of 37294021000 in words is "thirty-seven billion, two hundred ninety-four million, twenty-one thousand".
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