Search a number
-
+
27125034288 = 24311419122609
BaseRepresentation
bin11001010000110001…
…110010110100110000
32121000101112111211120
4121100301302310300
5421023002044123
620243331342240
71650116662422
oct312061626460
977011474746
1027125034288
111055a413810
125310151980
13273387b061
1414546ac812
15a8b5322e3
hex650c72d30

27125034288 has 80 divisors (see below), whose sum is σ = 76626345600. Its totient is φ = 8200023040.

The previous prime is 27125034281. The next prime is 27125034311. The reversal of 27125034288 is 88243052172.

It is not an unprimeable number, because it can be changed into a prime (27125034281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159928 + ... + 282536.

It is an arithmetic number, because the mean of its divisors is an integer number (957829320).

Almost surely, 227125034288 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 27125034288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38313172800).

27125034288 is an abundant number, since it is smaller than the sum of its proper divisors (49501311312).

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

27125034288 is a wasteful number, since it uses less digits than its factorization.

27125034288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123050 (or 123044 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 27125034288 in words is "twenty-seven billion, one hundred twenty-five million, thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 419 528 838 1257 1676 2514 3352 4609 5028 6704 9218 10056 13827 18436 20112 27654 36872 55308 73744 110616 122609 221232 245218 367827 490436 735654 980872 1348699 1471308 1961744 2697398 2942616 4046097 5394796 5885232 8092194 10789592 16184388 21579184 32368776 51373171 64737552 102746342 154119513 205492684 308239026 410985368 565104881 616478052 821970736 1130209762 1232956104 1695314643 2260419524 2465912208 3390629286 4520839048 6781258572 9041678096 13562517144 27125034288