Base | Representation |
---|---|
bin | 100011010101101000… |
… | …100101001001000000 |
3 | 10121221101012000110021 |
4 | 203111220211021000 |
5 | 1110202121021024 |
6 | 25233045543224 |
7 | 2512200011662 |
oct | 432550451100 |
9 | 117841160407 |
10 | 37943923264 |
11 | 151013a0175 |
12 | 742b414b14 |
13 | 3769102c00 |
14 | 1b9d4b6532 |
15 | ec1248de4 |
hex | 8d5a25240 |
37943923264 has 63 divisors (see below), whose sum is σ = 81575979723. Its totient is φ = 17503229952.
The previous prime is 37943923231. The next prime is 37943923289. The reversal of 37943923264 is 46232934973.
The square root of 37943923264 is 194792.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 27293683264 + 10650240000 = 165208^2 + 103200^2 .
It is a Harshad number since it is a multiple of its sum of digits (52).
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, 20257432 + ... + 20259304.
It is an arithmetic number, because the mean of its divisors is an integer number (1294856821).
Almost surely, 237943923264 is an apocalyptic number.
37943923264 is the 194792-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 37943923264
37943923264 is an abundant number, since it is smaller than the sum of its proper divisors (43632056459).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37943923264 is an frugal number, since it uses more digits than its factorization.
37943923264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3784 (or 1888 counting only the distinct ones).
The product of its digits is 5878656, while the sum is 52.
The spelling of 37943923264 in words is "thirty-seven billion, nine hundred forty-three million, nine hundred twenty-three thousand, two hundred sixty-four".
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