Search a number
-
+
27728572770 = 2325836775483
BaseRepresentation
bin11001110100110000…
…000111000101100010
32122120110012102222200
4121310300013011202
5423242003312040
620423251314030
72001065660013
oct316460070542
978513172880
1027728572770
111083a069148
12545a2ab916
1327cb915412
1414b08d700a
15ac44ed630
hex674c07162

27728572770 has 96 divisors (see below), whose sum is σ = 73083995712. Its totient is φ = 7293077376.

The previous prime is 27728572757. The next prime is 27728572771. The reversal of 27728572770 is 7727582772.

27728572770 is a `hidden beast` number, since 277 + 285 + 7 + 27 + 70 = 666.

It is a super-2 number, since 2×277285727702 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27728572771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5054449 + ... + 5059931.

It is an arithmetic number, because the mean of its divisors is an integer number (761291622).

Almost surely, 227728572770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728572770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36541997856).

27728572770 is an abundant number, since it is smaller than the sum of its proper divisors (45355422942).

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

27728572770 is a wasteful number, since it uses less digits than its factorization.

27728572770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 5378240, while the sum is 54.

The spelling of 27728572770 in words is "twenty-seven billion, seven hundred twenty-eight million, five hundred seventy-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 677 747 830 1245 1354 1494 2031 2490 3385 3735 4062 5483 6093 6770 7470 10155 10966 12186 16449 20310 27415 30465 32898 49347 54830 56191 60930 82245 98694 112382 164490 168573 246735 280955 337146 455089 493470 505719 561910 842865 910178 1011438 1365267 1685730 2275445 2528595 2730534 3711991 4095801 4550890 5057190 6826335 7423982 8191602 11135973 13652670 18559955 20479005 22271946 33407919 37119910 40958010 55679865 66815838 111359730 167039595 308095253 334079190 616190506 924285759 1540476265 1848571518 2772857277 3080952530 4621428795 5545714554 9242857590 13864286385 27728572770