Search a number
-
+
949275000832 = 216103140629
BaseRepresentation
bin11011101000001010011…
…00110000000000000000
310100202020121101110222011
431310011030300000000
5111023103400011312
62004031345422304
7125403630242044
oct15640514600000
93322217343864
10949275000832
11336648a99284
12133b8633a994
136b693275a32
1433d33712024
1519a5d411da7
hexdd05330000

949275000832 has 68 divisors (see below), whose sum is σ = 1916981531920. Its totient is φ = 470026027008.

The previous prime is 949275000823. The next prime is 949275000853. The reversal of 949275000832 is 238000572949.

It is a super-2 number, since 2×9492750008322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6679894 + ... + 6820522.

Almost surely, 2949275000832 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 949275000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958490765960).

949275000832 is an abundant number, since it is smaller than the sum of its proper divisors (967706531088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

949275000832 is an equidigital number, since it uses as much as digits as its factorization.

949275000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140764 (or 140734 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 949275000832 in words is "nine hundred forty-nine billion, two hundred seventy-five million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1024 1648 2048 3296 4096 6592 8192 13184 16384 26368 32768 52736 65536 105472 140629 210944 281258 421888 562516 843776 1125032 1687552 2250064 3375104 4500128 6750208 9000256 14484787 18000512 28969574 36001024 57939148 72002048 115878296 144004096 231756592 288008192 463513184 576016384 927026368 1152032768 1854052736 2304065536 3708105472 4608131072 7416210944 9216262144 14832421888 29664843776 59329687552 118659375104 237318750208 474637500416 949275000832