Search a number
-
+
27573885472 = 257417014283
BaseRepresentation
bin11001101011100010…
…000001101000100000
32122011200010111220111
4121223202001220200
5422432403313342
620400044021104
71664210105440
oct315342015040
978150114814
1027573885472
111076a815301
125416531794
1327a5864b83
14149814c120
15ab5b45217
hex66b881a20

27573885472 has 96 divisors (see below), whose sum is σ = 63659965824. Its totient is φ = 11510016000.

The previous prime is 27573885461. The next prime is 27573885497. The reversal of 27573885472 is 27458837572.

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 15 ways as a sum of consecutive naturals, for example, 6435843 + ... + 6440125.

It is an arithmetic number, because the mean of its divisors is an integer number (663124644).

Almost surely, 227573885472 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 27573885472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31829982912).

27573885472 is an abundant number, since it is smaller than the sum of its proper divisors (36086080352).

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

27573885472 is a wasteful number, since it uses less digits than its factorization.

27573885472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5034 counting only the distinct ones).

The product of its digits is 26342400, while the sum is 58.

The spelling of 27573885472 in words is "twenty-seven billion, five hundred seventy-three million, eight hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 701 1148 1312 1402 2296 2804 4283 4592 4907 5608 8566 9184 9814 11216 17132 19628 22432 28741 29981 34264 39256 57482 59962 68528 78512 114964 119924 137056 157024 175603 201187 229928 239848 351206 402374 459856 479696 702412 804748 919712 959392 1229221 1404824 1609496 2458442 2809648 3002383 3218992 4916884 5619296 6004766 6437984 9833768 12009532 19667536 21016681 24019064 39335072 42033362 48038128 84066724 96076256 123097703 168133448 246195406 336266896 492390812 672533792 861683921 984781624 1723367842 1969563248 3446735684 3939126496 6893471368 13786942736 27573885472